75641500900 has 81 divisors (see below), whose sum is σ = 190989370299. Its totient is φ = 25927628160.

The previous prime is 75641500897. The next prime is 75641500919. The reversal of 75641500900 is 900514657.

The square root of 75641500900 is 275030.

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 20085125284 + 55556375616 = 141722^2 + 235704^2 .

It is a super-3 number, since 3×75641500900³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 75641500900.

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, 19250136 + ... + 19254064.

Almost surely, 2^75641500900 is an apocalyptic number.

75641500900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

75641500900 is the 275030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75641500900

75641500900 is an abundant number, since it is smaller than the sum of its proper divisors (115347869399).

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

75641500900 is an equidigital number, since it uses as much as digits as its factorization.

75641500900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7886 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 75641500900 in words is "seventy-five billion, six hundred forty-one million, five hundred thousand, nine hundred".