7981635600 has 135 divisors (see below), whose sum is σ = 27717107223. Its totient is φ = 2127006720.

The previous prime is 7981635589. The next prime is 7981635601. The reversal of 7981635600 is 65361897.

It is a happy number.

The square root of 7981635600 is 89340.

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

7981635600 is a `hidden beast` number, since 7 + 9 + 8 + 1 + 6 + 35 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1486565136 + 6495070464 = 38556^2 + 80592^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7981635601) 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, 5359656 + ... + 5361144.

Almost surely, 2^7981635600 is an apocalyptic number.

7981635600 is the 89340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7981635600

7981635600 is an abundant number, since it is smaller than the sum of its proper divisors (19735471623).

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

7981635600 is a wasteful number, since it uses less digits than its factorization.

7981635600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 7981635600 is about 1998.4684608266.

The spelling of 7981635600 in words is "seven billion, nine hundred eighty-one million, six hundred thirty-five thousand, six hundred".