74993558400 has 720 divisors, whose sum is σ = 284801276760. Its totient is φ = 19430461440.

The previous prime is 74993558351. The next prime is 74993558411. The reversal of 74993558400 is 485539947.

74993558400 is a `hidden beast` number, since 7 + 49 + 9 + 3 + 558 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 728092749 + ... + 728092851.

Almost surely, 2^74993558400 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 74993558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142400638380).

74993558400 is an abundant number, since it is smaller than the sum of its proper divisors (209807718360).

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

74993558400 is a wasteful number, since it uses less digits than its factorization.

74993558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 74993558400 in words is "seventy-four billion, nine hundred ninety-three million, five hundred fifty-eight thousand, four hundred".