64983076114320 has 2880 divisors, whose sum is σ = 288270468794880. Its totient is φ = 12822500081664.

The previous prime is 64983076114303. The next prime is 64983076114373. The reversal of 64983076114320 is 2341167038946.

64983076114320 is a `hidden beast` number, since 6 + 4 + 9 + 8 + 307 + 6 + 1 + 1 + 4 + 320 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 204993930802 + ... + 204993931118.

It is an arithmetic number, because the mean of its divisors is an integer number (100093912776).

Almost surely, 2^{64983076114320} is an apocalyptic number.

64983076114320 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 64983076114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144135234397440).

64983076114320 is an abundant number, since it is smaller than the sum of its proper divisors (223287392680560).

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

64983076114320 is a wasteful number, since it uses less digits than its factorization.

64983076114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 64983076114320 in words is "sixty-four trillion, nine hundred eighty-three billion, seventy-six million, one hundred fourteen thousand, three hundred twenty".