646335602500 has 135 divisors (see below), whose sum is σ = 1644883072833. Its totient is φ = 221504304000.

The previous prime is 646335602483. The next prime is 646335602503. The reversal of 646335602500 is 5206533646.

The square root of 646335602500 is 803950.

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

It can be written as a sum of positive squares in 7 ways, for example, as 512859364164 + 133476238336 = 716142^2 + 365344^2 .

It is a super-2 number, since 2×646335602500² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (646335602503) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 281381352 + ... + 281383648.

Almost surely, 2^646335602500 is an apocalyptic number.

646335602500 is the 803950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646335602500

646335602500 is an abundant number, since it is smaller than the sum of its proper divisors (998547470333).

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

646335602500 is an frugal number, since it uses more digits than its factorization.

646335602500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 646335602500 in words is "six hundred forty-six billion, three hundred thirty-five million, six hundred two thousand, five hundred".