64383638712768 has 224 divisors, whose sum is σ = 190121723205120. Its totient is φ = 21365399808000.

The previous prime is 64383638712739. The next prime is 64383638712781. The reversal of 64383638712768 is 86721783638346.

It is a happy number.

64383638712768 is a `hidden beast` number, since 6 + 4 + 3 + 8 + 363 + 87 + 127 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 64383638712696 and 64383638712705.

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, 926842005 + ... + 926911467.

It is an arithmetic number, because the mean of its divisors is an integer number (848757692880).

Almost surely, 2^{64383638712768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64383638712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95060861602560).

64383638712768 is an abundant number, since it is smaller than the sum of its proper divisors (125738084492352).

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

64383638712768 is a wasteful number, since it uses less digits than its factorization.

64383638712768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71872 (or 71856 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 64383638712768 in words is "sixty-four trillion, three hundred eighty-three billion, six hundred thirty-eight million, seven hundred twelve thousand, seven hundred sixty-eight".