74063638656 has 256 divisors, whose sum is σ = 250135660800. Its totient is φ = 21134131200.

The previous prime is 74063638609. The next prime is 74063638697. The reversal of 74063638656 is 65683636047.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 26440456 + ... + 26443256.

It is an arithmetic number, because the mean of its divisors is an integer number (977092425).

Almost surely, 2^74063638656 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 74063638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125067830400).

74063638656 is an abundant number, since it is smaller than the sum of its proper divisors (176072022144).

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

74063638656 is a wasteful number, since it uses less digits than its factorization.

74063638656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 74063638656 in words is "seventy-four billion, sixty-three million, six hundred thirty-eight thousand, six hundred fifty-six".