64846768320 has 448 divisors, whose sum is σ = 237230716800. Its totient is φ = 16661790720.

The previous prime is 64846768279. The next prime is 64846768331. The reversal of 64846768320 is 2386764846.

64846768320 is a `hidden beast` number, since 6 + 484 + 67 + 6 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34844190 + ... + 34846050.

It is an arithmetic number, because the mean of its divisors is an integer number (529532850).

Almost surely, 2^64846768320 is an apocalyptic number.

64846768320 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 64846768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118615358400).

64846768320 is an abundant number, since it is smaller than the sum of its proper divisors (172383948480).

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

64846768320 is a wasteful number, since it uses less digits than its factorization.

64846768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 64846768320 in words is "sixty-four billion, eight hundred forty-six million, seven hundred sixty-eight thousand, three hundred twenty".