74181612960 has 1152 divisors, whose sum is σ = 329269764096. Its totient is φ = 14780620800.

The previous prime is 74181612931. The next prime is 74181612997. The reversal of 74181612960 is 6921618147.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 455101839 + ... + 455102001.

It is an arithmetic number, because the mean of its divisors is an integer number (285824448).

Almost surely, 2^74181612960 is an apocalyptic number.

74181612960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74181612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164634882048).

74181612960 is an abundant number, since it is smaller than the sum of its proper divisors (255088151136).

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

74181612960 is a wasteful number, since it uses less digits than its factorization.

74181612960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 74181612960 in words is "seventy-four billion, one hundred eighty-one million, six hundred twelve thousand, nine hundred sixty".