74867904400 has 45 divisors (see below), whose sum is σ = 179883288723. Its totient is φ = 29944972800.

The previous prime is 74867904389. The next prime is 74867904407. The reversal of 74867904400 is 440976847.

The square root of 74867904400 is 273620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10627960464 + 64239943936 = 103092^2 + 253456^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74867904407) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 5465560 + ... + 5479240.

Almost surely, 2^74867904400 is an apocalyptic number.

74867904400 is the 273620-th square number.

It is an amenable number.

74867904400 is an abundant number, since it is smaller than the sum of its proper divisors (105015384323).

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

74867904400 is an frugal number, since it uses more digits than its factorization.

74867904400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27380 (or 13688 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

Multiplying 74867904400 by its sum of digits (49), we get a square (3668527315600 = 1915340²).

The spelling of 74867904400 in words is "seventy-four billion, eight hundred sixty-seven million, nine hundred four thousand, four hundred".