74189174400 has 768 divisors, whose sum is σ = 298330905600. Its totient is φ = 17856000000.

The previous prime is 74189174399. The next prime is 74189174447. The reversal of 74189174400 is 447198147.

It is a happy number.

74189174400 is a `hidden beast` number, since 74 + 1 + 8 + 9 + 174 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238550245 + ... + 238550555.

It is an arithmetic number, because the mean of its divisors is an integer number (388451700).

Almost surely, 2^74189174400 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 74189174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149165452800).

74189174400 is an abundant number, since it is smaller than the sum of its proper divisors (224141731200).

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

74189174400 is a wasteful number, since it uses less digits than its factorization.

74189174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 74189174400 in words is "seventy-four billion, one hundred eighty-nine million, one hundred seventy-four thousand, four hundred".