6477507264 has 28 divisors (see below), whose sum is σ = 17138405144. Its totient is φ = 2159169024.

The previous prime is 6477507259. The next prime is 6477507269. The reversal of 6477507264 is 4627057746.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6477507259) and next prime (6477507269).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6477507269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16868317 + ... + 16868700.

It is an arithmetic number, because the mean of its divisors is an integer number (612085898).

Almost surely, 2^6477507264 is an apocalyptic number.

6477507264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6477507264 is an abundant number, since it is smaller than the sum of its proper divisors (10660897880).

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

6477507264 is a wasteful number, since it uses less digits than its factorization.

6477507264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33737032 (or 33737022 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The square root of 6477507264 is about 80482.9625697265. The cubic root of 6477507264 is about 1864.1004139512.

The spelling of 6477507264 in words is "six billion, four hundred seventy-seven million, five hundred seven thousand, two hundred sixty-four".