74649168400 has 135 divisors (see below), whose sum is σ = 189544239021. Its totient is φ = 28248762240.

The previous prime is 74649168383. The next prime is 74649168427. The reversal of 74649168400 is 486194647.

The square root of 74649168400 is 273220.

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

It can be written as a sum of positive squares in only one way, i.e., 26873700624 + 47775467776 = 163932^2 + 218576^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 103823241 + ... + 103823959.

Almost surely, 2^74649168400 is an apocalyptic number.

74649168400 is the 273220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74649168400

74649168400 is an abundant number, since it is smaller than the sum of its proper divisors (114895070621).

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

74649168400 is an equidigital number, since it uses as much as digits as its factorization.

74649168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 74649168400 by its sum of digits (49), we get a square (3657809251600 = 1912540²).

It can be divided in two parts, 74649 and 168400, that added together give a square (243049 = 493²).

The spelling of 74649168400 in words is "seventy-four billion, six hundred forty-nine million, one hundred sixty-eight thousand, four hundred".