8329630932100 has 81 divisors (see below), whose sum is σ = 18162077498607. Its totient is φ = 3315932590080.

The previous prime is 8329630932067. The next prime is 8329630932113. The reversal of 8329630932100 is 12390369238.

The square root of 8329630932100 is 2886110.

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 2046908212804 + 6282722719296 = 1430702^2 + 2506536^2 .

It is a super-2 number, since 2×8329630932100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

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, 7417302139 + ... + 7417303261.

Almost surely, 2^{8329630932100} is an apocalyptic number.

8329630932100 is the 2886110-th square number.

It is an amenable number.

8329630932100 is an abundant number, since it is smaller than the sum of its proper divisors (9832446566507).

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

8329630932100 is an equidigital number, since it uses as much as digits as its factorization.

8329630932100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 8329630932100 in words is "eight trillion, three hundred twenty-nine billion, six hundred thirty million, nine hundred thirty-two thousand, one hundred".