64159920460800 has 1056 divisors, whose sum is σ = 241739492265600. Its totient is φ = 16665772032000.

The previous prime is 64159920460799. The next prime is 64159920460859. The reversal of 64159920460800 is 806402995146.

64159920460800 is a `hidden beast` number, since 6 + 4 + 1 + 5 + 9 + 9 + 20 + 4 + 608 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23493195435 + ... + 23493198165.

Almost surely, 2^{64159920460800} is an apocalyptic number.

64159920460800 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 64159920460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120869746132800).

64159920460800 is an abundant number, since it is smaller than the sum of its proper divisors (177579571804800).

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

64159920460800 is a wasteful number, since it uses less digits than its factorization.

64159920460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 64159920460800 in words is "sixty-four trillion, one hundred fifty-nine billion, nine hundred twenty million, four hundred sixty thousand, eight hundred".