64683748900 has 81 divisors (see below), whose sum is σ = 145536713049. Its totient is φ = 24952824960.

The previous prime is 64683748897. The next prime is 64683748931. The reversal of 64683748900 is 984738646.

The square root of 64683748900 is 254330.

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

It can be written as a sum of positive squares in 13 ways, for example, as 16280228836 + 48403520064 = 127594^2 + 220008^2 .

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, 73755262 + ... + 73756138.

Almost surely, 2^64683748900 is an apocalyptic number.

64683748900 is the 254330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64683748900

64683748900 is an abundant number, since it is smaller than the sum of its proper divisors (80852964149).

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

64683748900 is an equidigital number, since it uses as much as digits as its factorization.

64683748900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 64683748900 in words is "sixty-four billion, six hundred eighty-three million, seven hundred forty-eight thousand, nine hundred".