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64696020480 = 2932571359523
BaseRepresentation
bin111100010000001011…
…101110111000000000
320011222202222100210200
4330100023232320000
52024444140123410
645415420125200
74450141046340
oct742013567000
9204882870720
1064696020480
112548a242823
1210656696800
136140626830
1431ba426d20
151a39b613c0
hexf102eee00

64696020480 has 960 divisors, whose sum is σ = 280977016320. Its totient is φ = 13393133568.

The previous prime is 64696020427. The next prime is 64696020497. The reversal of 64696020480 is 8402069646.

64696020480 is a `hidden beast` number, since 64 + 6 + 96 + 0 + 20 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123701499 + ... + 123702021.

It is an arithmetic number, because the mean of its divisors is an integer number (292684392).

Almost surely, 264696020480 is an apocalyptic number.

64696020480 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 64696020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140488508160).

64696020480 is an abundant number, since it is smaller than the sum of its proper divisors (216280995840).

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

64696020480 is a wasteful number, since it uses less digits than its factorization.

64696020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 64696020480 in words is "sixty-four billion, six hundred ninety-six million, twenty thousand, four hundred eighty".