74969356800 has 480 divisors, whose sum is σ = 270225204480. Its totient is φ = 18210816000.

The previous prime is 74969356783. The next prime is 74969356831. The reversal of 74969356800 is 865396947.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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, 39435850 + ... + 39437750.

It is an arithmetic number, because the mean of its divisors is an integer number (562969176).

Almost surely, 2^74969356800 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 74969356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135112602240).

74969356800 is an abundant number, since it is smaller than the sum of its proper divisors (195255847680).

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

74969356800 is a wasteful number, since it uses less digits than its factorization.

74969356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 74969356800 in words is "seventy-four billion, nine hundred sixty-nine million, three hundred fifty-six thousand, eight hundred".