74406810516480 has 2112 divisors, whose sum is σ = 303345984614400. Its totient is φ = 16699852062720.

The previous prime is 74406810516443. The next prime is 74406810516491. The reversal of 74406810516480 is 8461501860447.

74406810516480 is a `hidden beast` number, since 7 + 4 + 4 + 0 + 6 + 81 + 0 + 516 + 48 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80093444656 + ... + 80093445584.

Almost surely, 2^{74406810516480} 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 74406810516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151672992307200).

74406810516480 is an abundant number, since it is smaller than the sum of its proper divisors (228939174097920).

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

74406810516480 is a wasteful number, since it uses less digits than its factorization.

74406810516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 74406810516480 in words is "seventy-four trillion, four hundred six billion, eight hundred ten million, five hundred sixteen thousand, four hundred eighty".