74308008960 has 528 divisors, whose sum is σ = 278894743200. Its totient is φ = 18759942144.

The previous prime is 74308008947. The next prime is 74308008989. The reversal of 74308008960 is 6980080347.

It is a happy number.

74308008960 is a `hidden beast` number, since 7 + 430 + 80 + 0 + 89 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49903896 + ... + 49905384.

Almost surely, 2^74308008960 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 74308008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139447371600).

74308008960 is an abundant number, since it is smaller than the sum of its proper divisors (204586734240).

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

74308008960 is a wasteful number, since it uses less digits than its factorization.

74308008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 74308008960 in words is "seventy-four billion, three hundred eight million, eight thousand, nine hundred sixty".