7985924496 has 135 divisors (see below), whose sum is σ = 24602316193. Its totient is φ = 2416402560.

The previous prime is 7985924491. The next prime is 7985924533. The reversal of 7985924496 is 6944295897.

The square root of 7985924496 is 89364.

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

7985924496 is a `hidden beast` number, since 7 + 98 + 59 + 2 + 4 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7938810000 + 47114496 = 89100^2 + 6864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7985924491) 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, 11795710 + ... + 11796386.

Almost surely, 2^7985924496 is an apocalyptic number.

7985924496 is the 89364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7985924496

7985924496 is an abundant number, since it is smaller than the sum of its proper divisors (16616391697).

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

7985924496 is a wasteful number, since it uses less digits than its factorization.

7985924496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 693 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The cubic root of 7985924496 is about 1998.8263527441.

The spelling of 7985924496 in words is "seven billion, nine hundred eighty-five million, nine hundred twenty-four thousand, four hundred ninety-six".