59673680640 has 1152 divisors, whose sum is σ = 255562137600. Its totient is φ = 12899450880.

The previous prime is 59673680639. The next prime is 59673680701. The reversal of 59673680640 is 4608637695.

59673680640 is a `hidden beast` number, since 596 + 7 + 3 + 6 + 8 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×59673680640² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 547464906 + ... + 547465014.

Almost surely, 2^59673680640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59673680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127781068800).

59673680640 is an abundant number, since it is smaller than the sum of its proper divisors (195888456960).

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

59673680640 is a wasteful number, since it uses less digits than its factorization.

59673680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 59673680640 in words is "fifty-nine billion, six hundred seventy-three million, six hundred eighty thousand, six hundred forty".