74716876800 has 936 divisors, whose sum is σ = 299464270560. Its totient is φ = 17694720000.

The previous prime is 74716876789. The next prime is 74716876847. The reversal of 74716876800 is 867861747.

It is a super-2 number, since 2×74716876800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 297676675 + ... + 297676925.

It is an arithmetic number, because the mean of its divisors is an integer number (319940460).

Almost surely, 2^74716876800 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 74716876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149732135280).

74716876800 is an abundant number, since it is smaller than the sum of its proper divisors (224747393760).

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

74716876800 is a wasteful number, since it uses less digits than its factorization.

74716876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 74716876800 in words is "seventy-four billion, seven hundred sixteen million, eight hundred seventy-six thousand, eight hundred".