74931664320 has 336 divisors, whose sum is σ = 276363135360. Its totient is φ = 18567364608.

The previous prime is 74931664319. The next prime is 74931664321. The reversal of 74931664320 is 2346613947.

74931664320 is a `hidden beast` number, since 7 + 4 + 9 + 316 + 6 + 4 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (74931664319) and next prime (74931664321).

It is a super-2 number, since 2×74931664320² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74931664321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3858154 + ... + 3877526.

Almost surely, 2^74931664320 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 74931664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138181567680).

74931664320 is an abundant number, since it is smaller than the sum of its proper divisors (201431471040).

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

74931664320 is a wasteful number, since it uses less digits than its factorization.

74931664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19492 (or 19479 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 74931664320 in words is "seventy-four billion, nine hundred thirty-one million, six hundred sixty-four thousand, three hundred twenty".