6477001984 has 36 divisors (see below), whose sum is σ = 13374535860. Its totient is φ = 3126824960.

The previous prime is 6477001969. The next prime is 6477002041. The reversal of 6477001984 is 4891007746.

It can be written as a sum of positive squares in 2 ways, for example, as 4199040000 + 2277961984 = 64800^2 + 47728^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 428797 + ... + 443644.

It is an arithmetic number, because the mean of its divisors is an integer number (371514885).

Almost surely, 2^6477001984 is an apocalyptic number.

6477001984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6477001984 is an abundant number, since it is smaller than the sum of its proper divisors (6897533876).

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

6477001984 is an equidigital number, since it uses as much as digits as its factorization.

6477001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872486 (or 872472 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 6477001984 is about 80479.8234590509. The cubic root of 6477001984 is about 1864.0519427770.

The spelling of 6477001984 in words is "six billion, four hundred seventy-seven million, one thousand, nine hundred eighty-four".