6407362116 has 45 divisors (see below), whose sum is σ = 16753877679. Its totient is φ = 2135307096.

The previous prime is 6407362111. The next prime is 6407362133. The reversal of 6407362116 is 6112637046.

It is a happy number.

The square root of 6407362116 is 80046.

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

6407362116 is a `hidden beast` number, since 6 + 407 + 36 + 211 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6407362111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1438605 + ... + 1443051.

Almost surely, 2^6407362116 is an apocalyptic number.

6407362116 is the 80046-th square number.

It is an amenable number.

6407362116 is an abundant number, since it is smaller than the sum of its proper divisors (10346515563).

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

6407362116 is an frugal number, since it uses more digits than its factorization.

6407362116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8910 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The cubic root of 6407362116 is about 1857.3471755448.

Multiplying 6407362116 by its sum of digits (36), we get a square (230665036176 = 480276²).

6407362116 divided by its sum of digits (36) gives a square (177982281 = 13341²).

The spelling of 6407362116 in words is "six billion, four hundred seven million, three hundred sixty-two thousand, one hundred sixteen".