7965562500 has 567 divisors, whose sum is σ = 31101340179. Its totient is φ = 1713600000.

The previous prime is 7965562481. The next prime is 7965562523. The reversal of 7965562500 is 52655697.

The square root of 7965562500 is 89250.

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

7965562500 is a `hidden beast` number, since 7 + 96 + 5 + 56 + 2 + 500 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 7831188036 + 134374464 = 88494^2 + 11592^2 .

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 188 ways as a sum of consecutive naturals, for example, 468562492 + ... + 468562508.

Almost surely, 2^7965562500 is an apocalyptic number.

7965562500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7965562500 is the 89250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7965562500

7965562500 is an abundant number, since it is smaller than the sum of its proper divisors (23135777679).

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

7965562500 is a wasteful number, since it uses less digits than its factorization.

7965562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The cubic root of 7965562500 is about 1997.1260806051.

The spelling of 7965562500 in words is "seven billion, nine hundred sixty-five million, five hundred sixty-two thousand, five hundred".