672746452560 has 1680 divisors, whose sum is σ = 2976282720000. Its totient is φ = 141228831744.

The previous prime is 672746452541. The next prime is 672746452591. The reversal of 672746452560 is 65254647276.

672746452560 is a `hidden beast` number, since 6 + 7 + 2 + 74 + 6 + 4 + 5 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 672746452497 and 672746452506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3380635341 + ... + 3380635539.

Almost surely, 2^672746452560 is an apocalyptic number.

672746452560 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 672746452560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488141360000).

672746452560 is an abundant number, since it is smaller than the sum of its proper divisors (2303536267440).

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

672746452560 is a wasteful number, since it uses less digits than its factorization.

672746452560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 672746452560 in words is "six hundred seventy-two billion, seven hundred forty-six million, four hundred fifty-two thousand, five hundred sixty".