64575971159040 has 2112 divisors, whose sum is σ = 275088628039680. Its totient is φ = 14350639104000.

The previous prime is 64575971159033. The next prime is 64575971159053. The reversal of 64575971159040 is 4095117957546.

64575971159040 is a `hidden beast` number, since 6 + 4 + 575 + 9 + 7 + 1 + 1 + 59 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×64575971159040² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8060908635 + ... + 8060916645.

Almost surely, 2^{64575971159040} is an apocalyptic number.

64575971159040 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 64575971159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137544314019840).

64575971159040 is an abundant number, since it is smaller than the sum of its proper divisors (210512656880640).

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

64575971159040 is a wasteful number, since it uses less digits than its factorization.

64575971159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112 (or 8082 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 64575971159040 in words is "sixty-four trillion, five hundred seventy-five billion, nine hundred seventy-one million, one hundred fifty-nine thousand, forty".