6479825664 has 144 divisors (see below), whose sum is σ = 19550451200. Its totient is φ = 1888800768.

The previous prime is 6479825659. The next prime is 6479825701. The reversal of 6479825664 is 4665289746.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 15 ways as a sum of consecutive naturals, for example, 172617 + ... + 206775.

Almost surely, 2^6479825664 is an apocalyptic number.

6479825664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6479825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9775225600).

6479825664 is an abundant number, since it is smaller than the sum of its proper divisors (13070625536).

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

6479825664 is a wasteful number, since it uses less digits than its factorization.

6479825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34210 (or 34196 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The square root of 6479825664 is about 80497.3643295232. The cubic root of 6479825664 is about 1864.3227842098.

The spelling of 6479825664 in words is "six billion, four hundred seventy-nine million, eight hundred twenty-five thousand, six hundred sixty-four".