64315833865920 has 4032 divisors, whose sum is σ = 310867131294720. Its totient is φ = 12501502820352.

The previous prime is 64315833865889. The next prime is 64315833865961. The reversal of 64315833865920 is 2956833851346.

It is a happy number.

64315833865920 is a `hidden beast` number, since 6 + 4 + 3 + 1 + 5 + 8 + 3 + 38 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 34821782437 + ... + 34821784283.

It is an arithmetic number, because the mean of its divisors is an integer number (77099982960).

Almost surely, 2^{64315833865920} is an apocalyptic number.

64315833865920 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 64315833865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155433565647360).

64315833865920 is an abundant number, since it is smaller than the sum of its proper divisors (246551297428800).

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

64315833865920 is a wasteful number, since it uses less digits than its factorization.

64315833865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 64315833865920 in words is "sixty-four trillion, three hundred fifteen billion, eight hundred thirty-three million, eight hundred sixty-five thousand, nine hundred twenty".