64944346675968 has 720 divisors, whose sum is σ = 202627719499744. Its totient is φ = 20669220126720.

The previous prime is 64944346675927. The next prime is 64944346676051. The reversal of 64944346675968 is 86957664344946.

64944346675968 is a `hidden beast` number, since 6 + 4 + 9 + 4 + 43 + 466 + 7 + 59 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14239056408 + ... + 14239060968.

Almost surely, 2^{64944346675968} 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 64944346675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101313859749872).

64944346675968 is an abundant number, since it is smaller than the sum of its proper divisors (137683372823776).

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

64944346675968 is a wasteful number, since it uses less digits than its factorization.

64944346675968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 4947 counting only the distinct ones).

The product of its digits is 22574039040, while the sum is 81.

The spelling of 64944346675968 in words is "sixty-four trillion, nine hundred forty-four billion, three hundred forty-six million, six hundred seventy-five thousand, nine hundred sixty-eight".