74371802400 has 1728 divisors, whose sum is σ = 336314474496. Its totient is φ = 15676416000.

The previous prime is 74371802387. The next prime is 74371802471. The reversal of 74371802400 is 420817347.

It is a happy number.

74371802400 is a `hidden beast` number, since 7 + 437 + 180 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1729576779 + ... + 1729576821.

It is an arithmetic number, because the mean of its divisors is an integer number (194626432).

Almost surely, 2^74371802400 is an apocalyptic number.

74371802400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74371802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168157237248).

74371802400 is an abundant number, since it is smaller than the sum of its proper divisors (261942672096).

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

74371802400 is a wasteful number, since it uses less digits than its factorization.

74371802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 74371802400 in words is "seventy-four billion, three hundred seventy-one million, eight hundred two thousand, four hundred".