64257979968 has 896 divisors, whose sum is σ = 246336921600. Its totient is φ = 15963070464.

The previous prime is 64257979921. The next prime is 64257979979. The reversal of 64257979968 is 86997975246.

64257979968 is a `hidden beast` number, since 6 + 42 + 579 + 7 + 9 + 9 + 6 + 8 = 666.

64257979968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (411505920) is a multiple of the sum of its prime divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 64257979896 and 64257979905.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 394220655 + ... + 394220817.

It is an arithmetic number, because the mean of its divisors is an integer number (274929600).

Almost surely, 2^64257979968 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 64257979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123168460800).

64257979968 is an abundant number, since it is smaller than the sum of its proper divisors (182078941632).

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

64257979968 is a wasteful number, since it uses less digits than its factorization.

64257979968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 64257979968 in words is "sixty-four billion, two hundred fifty-seven million, nine hundred seventy-nine thousand, nine hundred sixty-eight".