64864376793216 has 3072 divisors, whose sum is σ = 272646646272000. Its totient is φ = 14365449584640.

The previous prime is 64864376793179. The next prime is 64864376793217. The reversal of 64864376793216 is 61239767346846.

64864376793216 is a `hidden beast` number, since 6 + 4 + 86 + 437 + 6 + 7 + 93 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (64864376793217) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 113997146980 + ... + 113997147548.

It is an arithmetic number, because the mean of its divisors is an integer number (88752163500).

Almost surely, 2^{64864376793216} is an apocalyptic number.

64864376793216 is a gapful number since it is divisible by the number (66) 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 64864376793216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136323323136000).

64864376793216 is an abundant number, since it is smaller than the sum of its proper divisors (207782269478784).

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

64864376793216 is a wasteful number, since it uses less digits than its factorization.

64864376793216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 667 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 72.

The spelling of 64864376793216 in words is "sixty-four trillion, eight hundred sixty-four billion, three hundred seventy-six million, seven hundred ninety-three thousand, two hundred sixteen".