74704291200 has 1920 divisors, whose sum is σ = 363624940800. Its totient is φ = 14631321600.

The previous prime is 74704291187. The next prime is 74704291223. The reversal of 74704291200 is 219240747.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×74704291200² (a number of 23 digits) contains 22 as substring.

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

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 239 ways as a sum of consecutive naturals, for example, 379209502 + ... + 379209698.

It is an arithmetic number, because the mean of its divisors is an integer number (189387990).

Almost surely, 2^74704291200 is an apocalyptic number.

74704291200 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 74704291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181812470400).

74704291200 is an abundant number, since it is smaller than the sum of its proper divisors (288920649600).

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

74704291200 is a wasteful number, since it uses less digits than its factorization.

74704291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 74704291200 in words is "seventy-four billion, seven hundred four million, two hundred ninety-one thousand, two hundred".