74068008960 has 448 divisors, whose sum is σ = 265716008064. Its totient is φ = 17458790400.

The previous prime is 74068008947. The next prime is 74068008983. The reversal of 74068008960 is 6980086047.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 50011420 + ... + 50012900.

Almost surely, 2^74068008960 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 74068008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132858004032).

74068008960 is an abundant number, since it is smaller than the sum of its proper divisors (191647999104).

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

74068008960 is a wasteful number, since it uses less digits than its factorization.

74068008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 74068008960 in words is "seventy-four billion, sixty-eight million, eight thousand, nine hundred sixty".