75097921600 has 567 divisors, whose sum is σ = 219636304821. Its totient is φ = 25255526400.

The previous prime is 75097921573. The next prime is 75097921649. The reversal of 75097921600 is 612979057.

It is a happy number.

The square root of 75097921600 is 274040.

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

It can be written as a sum of positive squares in 13 ways, for example, as 54692370496 + 20405551104 = 233864^2 + 142848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2422513585 + ... + 2422513615.

Almost surely, 2^75097921600 is an apocalyptic number.

75097921600 is the 274040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75097921600

75097921600 is an abundant number, since it is smaller than the sum of its proper divisors (144538383221).

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

75097921600 is a wasteful number, since it uses less digits than its factorization.

75097921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 46.

The spelling of 75097921600 in words is "seventy-five billion, ninety-seven million, nine hundred twenty-one thousand, six hundred".