74496243600 has 135 divisors (see below), whose sum is σ = 258579501843. Its totient is φ = 19861297920.

The previous prime is 74496243589. The next prime is 74496243629. The reversal of 74496243600 is 634269447.

It is a happy number.

The square root of 74496243600 is 272940.

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 790509456 + 73705734144 = 28116^2 + 271488^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16374126 + ... + 16378674.

Almost surely, 2^74496243600 is an apocalyptic number.

74496243600 is the 272940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74496243600

74496243600 is an abundant number, since it is smaller than the sum of its proper divisors (184083258243).

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

74496243600 is an equidigital number, since it uses as much as digits as its factorization.

74496243600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9122 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

It can be divided in two parts, 74496 and 243600, that added together give a square (318096 = 564²).

The spelling of 74496243600 in words is "seventy-four billion, four hundred ninety-six million, two hundred forty-three thousand, six hundred".