64318032100 has 81 divisors (see below), whose sum is σ = 162401914857. Its totient is φ = 22045810080.

The previous prime is 64318032089. The next prime is 64318032113. The reversal of 64318032100 is 123081346.

The square root of 64318032100 is 253610.

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

It can be written as a sum of positive squares in only one way, i.e., 23154491556 + 41163540544 = 152166^2 + 202888^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 17750889 + ... + 17754511.

Almost surely, 2^64318032100 is an apocalyptic number.

64318032100 is the 253610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64318032100

64318032100 is an abundant number, since it is smaller than the sum of its proper divisors (98083882757).

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

64318032100 is an equidigital number, since it uses as much as digits as its factorization.

64318032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7274 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 64318032100 in words is "sixty-four billion, three hundred eighteen million, thirty-two thousand, one hundred".