64681598013120 has 1344 divisors, whose sum is σ = 249904442032128. Its totient is φ = 15223799808000.

The previous prime is 64681598013083. The next prime is 64681598013127. The reversal of 64681598013120 is 2131089518646.

It is a happy number.

64681598013120 is a `hidden beast` number, since 6 + 46 + 8 + 1 + 598 + 0 + 1 + 3 + 1 + 2 + 0 = 666.

It is a super-3 number, since 3×64681598013120³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (64681598013127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43971173985 + ... + 43971175455.

Almost surely, 2^{64681598013120} is an apocalyptic number.

64681598013120 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 64681598013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124952221016064).

64681598013120 is an abundant number, since it is smaller than the sum of its proper divisors (185222844019008).

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

64681598013120 is a wasteful number, since it uses less digits than its factorization.

64681598013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 64681598013120 in words is "sixty-four trillion, six hundred eighty-one billion, five hundred ninety-eight million, thirteen thousand, one hundred twenty".