74869984800 has 1440 divisors, whose sum is σ = 315063834624. Its totient is φ = 17169408000.

The previous prime is 74869984771. The next prime is 74869984817. The reversal of 74869984800 is 848996847.

74869984800 is a `hidden beast` number, since 7 + 4 + 8 + 69 + 98 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1227376770 + ... + 1227376830.

Almost surely, 2^74869984800 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 74869984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157531917312).

74869984800 is an abundant number, since it is smaller than the sum of its proper divisors (240193849824).

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

74869984800 is a wasteful number, since it uses less digits than its factorization.

74869984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 74869984800 in words is "seventy-four billion, eight hundred sixty-nine million, nine hundred eighty-four thousand, eight hundred".