6407013129 has 16 divisors (see below), whose sum is σ = 9571166400. Its totient is φ = 3778090560.

The previous prime is 6407013113. The next prime is 6407013131. The reversal of 6407013129 is 9213107046.

It is not a de Polignac number, because 6407013129 - 2⁴ = 6407013113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 6407013129.

It is not an unprimeable number, because it can be changed into a prime (6407013139) 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 15 ways as a sum of consecutive naturals, for example, 2622454 + ... + 2624895.

It is an arithmetic number, because the mean of its divisors is an integer number (598197900).

Almost surely, 2^6407013129 is an apocalyptic number.

It is an amenable number.

6407013129 is a deficient number, since it is larger than the sum of its proper divisors (3164153271).

6407013129 is a wasteful number, since it uses less digits than its factorization.

6407013129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247400.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 6407013129 is about 80043.8200550174. The cubic root of 6407013129 is about 1857.3134538262.

The spelling of 6407013129 in words is "six billion, four hundred seven million, thirteen thousand, one hundred twenty-nine".