6416013904 has 60 divisors (see below), whose sum is σ = 12835143900. Its totient is φ = 3106816000.

The previous prime is 6416013889. The next prime is 6416013907. The reversal of 6416013904 is 4093106146.

It can be written as a sum of positive squares in 6 ways, for example, as 1040191504 + 5375822400 = 32252^2 + 73320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6416013904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6416013907) 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 11 ways as a sum of consecutive naturals, for example, 4006704 + ... + 4008304.

It is an arithmetic number, because the mean of its divisors is an integer number (213919065).

Almost surely, 2^6416013904 is an apocalyptic number.

It is an amenable number.

6416013904 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

6416013904 is a wasteful number, since it uses less digits than its factorization.

6416013904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1793 counting only the distinct ones).

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

The square root of 6416013904 is about 80100.0243695344. The cubic root of 6416013904 is about 1858.1827844569.

The spelling of 6416013904 in words is "six billion, four hundred sixteen million, thirteen thousand, nine hundred four".