64581708394944 has 336 divisors, whose sum is σ = 211107114691200. Its totient is φ = 18699790417920.

The previous prime is 64581708394837. The next prime is 64581708394979. The reversal of 64581708394944 is 44949380718546.

64581708394944 is a `hidden beast` number, since 6 + 4 + 5 + 81 + 70 + 8 + 394 + 94 + 4 = 666.

64581708394944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032466582 + ... + 1032529130.

It is an arithmetic number, because the mean of its divisors is an integer number (628294984200).

Almost surely, 2^{64581708394944} is an apocalyptic number.

64581708394944 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 64581708394944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105553557345600).

64581708394944 is an abundant number, since it is smaller than the sum of its proper divisors (146525406296256).

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

64581708394944 is a wasteful number, since it uses less digits than its factorization.

64581708394944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70708 (or 70695 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 64581708394944 in words is "sixty-four trillion, five hundred eighty-one billion, seven hundred eight million, three hundred ninety-four thousand, nine hundred forty-four".