6477413825 has 24 divisors (see below), whose sum is σ = 8192184000. Its totient is φ = 5079101760.

The previous prime is 6477413807. The next prime is 6477413837. The reversal of 6477413825 is 5283147746.

It is not a de Polignac number, because 6477413825 - 2¹⁴ = 6477397441 is a prime.

It is a super-2 number, since 2×6477413825² = 83913779720602261250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6477413825.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508484 + ... + 521066.

It is an arithmetic number, because the mean of its divisors is an integer number (341341000).

Almost surely, 2^6477413825 is an apocalyptic number.

It is an amenable number.

6477413825 is a deficient number, since it is larger than the sum of its proper divisors (1714770175).

6477413825 is a wasteful number, since it uses less digits than its factorization.

6477413825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13001 (or 12996 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 47.

The square root of 6477413825 is about 80482.3820783157. The cubic root of 6477413825 is about 1864.0914506000.

The spelling of 6477413825 in words is "six billion, four hundred seventy-seven million, four hundred thirteen thousand, eight hundred twenty-five".