7999513600 has 297 divisors, whose sum is σ = 21982710483. Its totient is φ = 2884976640.

The previous prime is 7999513583. The next prime is 7999513603. The reversal of 7999513600 is 63159997.

The square root of 7999513600 is 89440.

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 2061886464 + 5937627136 = 45408^2 + 77056^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7999513603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 186035179 + ... + 186035221.

Almost surely, 2^7999513600 is an apocalyptic number.

7999513600 is the 89440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7999513600

7999513600 is an abundant number, since it is smaller than the sum of its proper divisors (13983196883).

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

7999513600 is a wasteful number, since it uses less digits than its factorization.

7999513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 49.

The cubic root of 7999513600 is about 1999.9594658452.

Multiplying 7999513600 by its sum of digits (49), we get a square (391976166400 = 626080²).

The spelling of 7999513600 in words is "seven billion, nine hundred ninety-nine million, five hundred thirteen thousand, six hundred".