74901683664 has 300 divisors, whose sum is σ = 237755064448. Its totient is φ = 22737024000.

The previous prime is 74901683611. The next prime is 74901683671. The reversal of 74901683664 is 46638610947.

74901683664 is a `hidden beast` number, since 7 + 490 + 1 + 68 + 36 + 64 = 666.

It is a super-2 number, since 2×74901683664² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 74901683664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11607639 + ... + 11614089.

Almost surely, 2^74901683664 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 74901683664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118877532224).

74901683664 is an abundant number, since it is smaller than the sum of its proper divisors (162853380784).

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

74901683664 is a wasteful number, since it uses less digits than its factorization.

74901683664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6536 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 74901683664 in words is "seventy-four billion, nine hundred one million, six hundred eighty-three thousand, six hundred sixty-four".