74657366400 has 192 divisors, whose sum is σ = 248293393920. Its totient is φ = 19715082240.

The previous prime is 74657366363. The next prime is 74657366401. The reversal of 74657366400 is 466375647.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 74657366400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74657366401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 951049 + ... + 1026551.

It is an arithmetic number, because the mean of its divisors is an integer number (1293194760).

Almost surely, 2^74657366400 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 74657366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124146696960).

74657366400 is an abundant number, since it is smaller than the sum of its proper divisors (173636027520).

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

74657366400 is a wasteful number, since it uses less digits than its factorization.

74657366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75633 (or 75616 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 74657366400 in words is "seventy-four billion, six hundred fifty-seven million, three hundred sixty-six thousand, four hundred".