6464253264 has 480 divisors, whose sum is σ = 22147153920. Its totient is φ = 1609445376.

The previous prime is 6464253217. The next prime is 6464253277. The reversal of 6464253264 is 4623524646.

It is a super-2 number, since 2×6464253264² = 83573140522269307392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 50899569 + ... + 50899695.

It is an arithmetic number, because the mean of its divisors is an integer number (46139904).

Almost surely, 2^6464253264 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 6464253264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11073576960).

6464253264 is an abundant number, since it is smaller than the sum of its proper divisors (15682900656).

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

6464253264 is a wasteful number, since it uses less digits than its factorization.

6464253264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 242 counting only the distinct ones).

The product of its digits is 829440, while the sum is 42.

The square root of 6464253264 is about 80400.5799979080. The cubic root of 6464253264 is about 1862.8281314518.

The spelling of 6464253264 in words is "six billion, four hundred sixty-four million, two hundred fifty-three thousand, two hundred sixty-four".