74573978400 has 216 divisors, whose sum is σ = 272706701904. Its totient is φ = 19886342400.

The previous prime is 74573978393. The next prime is 74573978411. The reversal of 74573978400 is 487937547.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×74573978400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2595 + ... + 386205.

Almost surely, 2^74573978400 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 74573978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136353350952).

74573978400 is an abundant number, since it is smaller than the sum of its proper divisors (198132723504).

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

74573978400 is a wasteful number, since it uses less digits than its factorization.

74573978400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383646 (or 383621 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 74573978400 in words is "seventy-four billion, five hundred seventy-three million, nine hundred seventy-eight thousand, four hundred".