74516089190400 has 4032 divisors, whose sum is σ = 340141689538560. Its totient is φ = 15923655475200.

The previous prime is 74516089190393. The next prime is 74516089190447. The reversal of 74516089190400 is 409198061547.

74516089190400 is a `hidden beast` number, since 7 + 4 + 5 + 1 + 60 + 8 + 91 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 122761266897 + ... + 122761267503.

It is an arithmetic number, because the mean of its divisors is an integer number (84360538080).

Almost surely, 2^{74516089190400} 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 74516089190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170070844769280).

74516089190400 is an abundant number, since it is smaller than the sum of its proper divisors (265625600348160).

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

74516089190400 is a wasteful number, since it uses less digits than its factorization.

74516089190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 74516089190400 in words is "seventy-four trillion, five hundred sixteen billion, eighty-nine million, one hundred ninety thousand, four hundred".