6464396928 has 288 divisors, whose sum is σ = 19805274720. Its totient is φ = 1866613760.

The previous prime is 6464396893. The next prime is 6464396929. The reversal of 6464396928 is 8296934646.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6464396929) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24579325 + ... + 24579587.

It is an arithmetic number, because the mean of its divisors is an integer number (68768315).

Almost surely, 2^6464396928 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 6464396928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9902637360).

6464396928 is an abundant number, since it is smaller than the sum of its proper divisors (13340877792).

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

6464396928 is a wasteful number, since it uses less digits than its factorization.

6464396928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 302 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 57.

The square root of 6464396928 is about 80401.4734193348. The cubic root of 6464396928 is about 1862.8419314143.

The spelling of 6464396928 in words is "six billion, four hundred sixty-four million, three hundred ninety-six thousand, nine hundred twenty-eight".