64816312320 has 416 divisors, whose sum is σ = 231843306240. Its totient is φ = 17178624000.

The previous prime is 64816312277. The next prime is 64816312339. The reversal of 64816312320 is 2321361846.

64816312320 is a `hidden beast` number, since 6 + 4 + 8 + 16 + 312 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138792727 + ... + 138793193.

It is an arithmetic number, because the mean of its divisors is an integer number (557315640).

Almost surely, 2^64816312320 is an apocalyptic number.

64816312320 is a gapful number since it is divisible by the number (60) 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 64816312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115921653120).

64816312320 is an abundant number, since it is smaller than the sum of its proper divisors (167026993920).

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

64816312320 is a wasteful number, since it uses less digits than its factorization.

64816312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 64816312320 in words is "sixty-four billion, eight hundred sixteen million, three hundred twelve thousand, three hundred twenty".