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672076289364480 = 293257112133197881
BaseRepresentation
bin1001100011001111111111010…
…0011111010101001000000000
310021010121212101011021001110200
42120303333310133111020000
51201042244220034130410
610341215330210525200
7261363623655311430
oct23063776437251000
93233555334231420
10672076289364480
11185164a54398600
1263464a79596800
1322b016a3203c80
14bbd69475b02c0
1552a73a74e73c0
hex2633ff47d5200

672076289364480 has 5760 divisors, whose sum is σ = 3287642145435648. Its totient is φ = 123325120512000.

The previous prime is 672076289364413. The next prime is 672076289364503. The reversal of 672076289364480 is 84463982670276.

It is a happy number.

672076289364480 is a `hidden beast` number, since 6 + 7 + 2 + 0 + 7 + 6 + 2 + 89 + 3 + 64 + 480 = 666.

672076289364480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 672076289364399 and 672076289364408.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 762856173640 + ... + 762856174520.

Almost surely, 2672076289364480 is an apocalyptic number.

672076289364480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672076289364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643821072717824).

672076289364480 is an abundant number, since it is smaller than the sum of its proper divisors (2615565856071168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

672076289364480 is a wasteful number, since it uses less digits than its factorization.

672076289364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 672076289364480 in words is "six hundred seventy-two trillion, seventy-six billion, two hundred eighty-nine million, three hundred sixty-four thousand, four hundred eighty".