74757440160 has 960 divisors, whose sum is σ = 308342909952. Its totient is φ = 16888725504.

The previous prime is 74757440129. The next prime is 74757440161. The reversal of 74757440160 is 6104475747.

74757440160 is a `hidden beast` number, since 7 + 47 + 5 + 7 + 440 + 160 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (74757440161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123158577 + ... + 123159183.

Almost surely, 2^74757440160 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 74757440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154171454976).

74757440160 is an abundant number, since it is smaller than the sum of its proper divisors (233585469792).

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

74757440160 is a wasteful number, since it uses less digits than its factorization.

74757440160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 74757440160 in words is "seventy-four billion, seven hundred fifty-seven million, four hundred forty thousand, one hundred sixty".