64109839993344 has 1280 divisors, whose sum is σ = 215536924753920. Its totient is φ = 18715705344000.

The previous prime is 64109839993343. The next prime is 64109839993349. The reversal of 64109839993344 is 44339993890146.

64109839993344 is a `hidden beast` number, since 6 + 4 + 109 + 8 + 3 + 99 + 93 + 344 = 666.

It is a super-2 number, since 2×64109839993344² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (64109839993343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21207355417 + ... + 21207358439.

It is an arithmetic number, because the mean of its divisors is an integer number (168388222464).

Almost surely, 2^{64109839993344} is an apocalyptic number.

64109839993344 is a gapful number since it is divisible by the number (64) 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 64109839993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107768462376960).

64109839993344 is an abundant number, since it is smaller than the sum of its proper divisors (151427084760576).

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

64109839993344 is a wasteful number, since it uses less digits than its factorization.

64109839993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 544195584, while the sum is 72.

The spelling of 64109839993344 in words is "sixty-four trillion, one hundred nine billion, eight hundred thirty-nine million, nine hundred ninety-three thousand, three hundred forty-four".