74868940800 has 504 divisors, whose sum is σ = 270960402960. Its totient is φ = 19759104000.

The previous prime is 74868940793. The next prime is 74868940823. The reversal of 74868940800 is 804986847.

74868940800 is a `hidden beast` number, since 7 + 486 + 89 + 4 + 0 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 278323066 + ... + 278323334.

Almost surely, 2^74868940800 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 74868940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135480201480).

74868940800 is an abundant number, since it is smaller than the sum of its proper divisors (196091462160).

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

74868940800 is a wasteful number, since it uses less digits than its factorization.

74868940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 74868940800 in words is "seventy-four billion, eight hundred sixty-eight million, nine hundred forty thousand, eight hundred".