64113733020960 has 1728 divisors, whose sum is σ = 273078071884800. Its totient is φ = 14149115043840.

The previous prime is 64113733020863. The next prime is 64113733020977. The reversal of 64113733020960 is 6902033731146.

64113733020960 is a `hidden beast` number, since 6 + 4 + 11 + 373 + 3 + 0 + 209 + 60 = 666.

It is a super-2 number, since 2×64113733020960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 32895706066 + ... + 32895708014.

It is an arithmetic number, because the mean of its divisors is an integer number (158031291600).

Almost surely, 2^{64113733020960} is an apocalyptic number.

64113733020960 is a gapful number since it is divisible by the number (60) 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 64113733020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136539035942400).

64113733020960 is an abundant number, since it is smaller than the sum of its proper divisors (208964338863840).

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

64113733020960 is a wasteful number, since it uses less digits than its factorization.

64113733020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 64113733020960 in words is "sixty-four trillion, one hundred thirteen billion, seven hundred thirty-three million, twenty thousand, nine hundred sixty".