64517376000 has 768 divisors, whose sum is σ = 267875112960. Its totient is φ = 13393920000.

The previous prime is 64517375981. The next prime is 64517376023. The reversal of 64517376000 is 67371546.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 64517376000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59135455 + ... + 59136545.

It is an arithmetic number, because the mean of its divisors is an integer number (348795720).

Almost surely, 2^64517376000 is an apocalyptic number.

64517376000 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 64517376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133937556480).

64517376000 is an abundant number, since it is smaller than the sum of its proper divisors (203357736960).

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

64517376000 is a wasteful number, since it uses less digits than its factorization.

64517376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 64517376000 in words is "sixty-four billion, five hundred seventeen million, three hundred seventy-six thousand".