74940292800 has 840 divisors, whose sum is σ = 297076319232. Its totient is φ = 18475776000.

The previous prime is 74940292733. The next prime is 74940292807. The reversal of 74940292800 is 829204947.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (74940292807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 92404395 + ... + 92405205.

Almost surely, 2^74940292800 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 74940292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148538159616).

74940292800 is an abundant number, since it is smaller than the sum of its proper divisors (222136026432).

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

74940292800 is a wasteful number, since it uses less digits than its factorization.

74940292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 74940292800 in words is "seventy-four billion, nine hundred forty million, two hundred ninety-two thousand, eight hundred".