74996409600 has 972 divisors, whose sum is σ = 321657461216. Its totient is φ = 16935505920.

The previous prime is 74996409577. The next prime is 74996409611. The reversal of 74996409600 is 690469947.

74996409600 = 333³ + 334³ + ... + 747³.

74996409600 is a `hidden beast` number, since 7 + 499 + 64 + 0 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-2 number, since 2×74996409600² (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 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 107 ways as a sum of consecutive naturals, for example, 903571159 + ... + 903571241.

Almost surely, 2^74996409600 is an apocalyptic number.

74996409600 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 74996409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160828730608).

74996409600 is an abundant number, since it is smaller than the sum of its proper divisors (246661051616).

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

74996409600 is an frugal number, since it uses more digits than its factorization.

74996409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 74996409600 in words is "seventy-four billion, nine hundred ninety-six million, four hundred nine thousand, six hundred".