6464680320 has 128 divisors (see below), whose sum is σ = 23549955840. Its totient is φ = 1477638144.

The previous prime is 6464680303. The next prime is 6464680337. The reversal of 6464680320 is 230864646.

It is an interprime number because it is at equal distance from previous prime (6464680303) and next prime (6464680337).

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 227062 + ... + 253941.

It is an arithmetic number, because the mean of its divisors is an integer number (183984030).

Almost surely, 2^6464680320 is an apocalyptic number.

6464680320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6464680320 is an abundant number, since it is smaller than the sum of its proper divisors (17085275520).

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

6464680320 is a wasteful number, since it uses less digits than its factorization.

6464680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481032 (or 481020 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 6464680320 is about 80403.2357557829. The cubic root of 6464680320 is about 1862.8691526588.

The spelling of 6464680320 in words is "six billion, four hundred sixty-four million, six hundred eighty thousand, three hundred twenty".