6411364900 has 18 divisors (see below), whose sum is σ = 13912662050. Its totient is φ = 2564545920.

The previous prime is 6411364889. The next prime is 6411364903. The reversal of 6411364900 is 94631146.

It can be written as a sum of positive squares in 3 ways, for example, as 2277389284 + 4133975616 = 47722^2 + 64296^2 .

It is a super-2 number, since 2×6411364900² = 82211199761904020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6411364903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32056725 + ... + 32056924.

Almost surely, 2^6411364900 is an apocalyptic number.

It is an amenable number.

6411364900 is an abundant number, since it is smaller than the sum of its proper divisors (7501297150).

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

6411364900 is a wasteful number, since it uses less digits than its factorization.

6411364900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64113663 (or 64113656 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 6411364900 is about 80070.9991195314. Note that the first 3 decimals coincide. The cubic root of 6411364900 is about 1857.7338667601.

The spelling of 6411364900 in words is "six billion, four hundred eleven million, three hundred sixty-four thousand, nine hundred".