6407541649 has 16 divisors (see below), whose sum is σ = 6517337040. Its totient is φ = 6298997760.

The previous prime is 6407541607. The next prime is 6407541697. The reversal of 6407541649 is 9461457046.

It can be written as a sum of positive squares in 8 ways, for example, as 2564409600 + 3843132049 = 50640^2 + 61993^2 .

It is a cyclic number.

It is not a de Polignac number, because 6407541649 - 2²³ = 6399153041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6407541599 and 6407541608.

It is not an unprimeable number, because it can be changed into a prime (6407541149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9693379 + ... + 9694039.

It is an arithmetic number, because the mean of its divisors is an integer number (407333565).

Almost surely, 2^6407541649 is an apocalyptic number.

It is an amenable number.

6407541649 is a deficient number, since it is larger than the sum of its proper divisors (109795391).

6407541649 is a wasteful number, since it uses less digits than its factorization.

6407541649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380.

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 6407541649 is about 80047.1214285686. The cubic root of 6407541649 is about 1857.3645228811.

The spelling of 6407541649 in words is "six billion, four hundred seven million, five hundred forty-one thousand, six hundred forty-nine".