6464431872 has 108 divisors (see below), whose sum is σ = 18661037304. Its totient is φ = 2152212480.

The previous prime is 6464431861. The next prime is 6464431879. The reversal of 6464431872 is 2781344646.

6464431872 is a `hidden beast` number, since 6 + 464 + 4 + 3 + 187 + 2 = 666.

It is a super-3 number, since 3×6464431872³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6464431879) 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 11 ways as a sum of consecutive naturals, for example, 3346747 + ... + 3348677.

Almost surely, 2^6464431872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6464431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9330518652).

6464431872 is an abundant number, since it is smaller than the sum of its proper divisors (12196605432).

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

6464431872 is a wasteful number, since it uses less digits than its factorization.

6464431872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3389 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 6464431872 is about 80401.6907284915. The cubic root of 6464431872 is about 1862.8452880064.

The spelling of 6464431872 in words is "six billion, four hundred sixty-four million, four hundred thirty-one thousand, eight hundred seventy-two".