64866528000 has 576 divisors, whose sum is σ = 241252502400. Its totient is φ = 17163878400.

The previous prime is 64866527969. The next prime is 64866528007. The reversal of 64866528000 is 82566846.

64866528000 is a `hidden beast` number, since 64 + 8 + 66 + 528 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (64866528007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166751806 + ... + 166752194.

It is an arithmetic number, because the mean of its divisors is an integer number (418841150).

Almost surely, 2^64866528000 is an apocalyptic number.

64866528000 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 64866528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120626251200).

64866528000 is an abundant number, since it is smaller than the sum of its proper divisors (176385974400).

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

64866528000 is a wasteful number, since it uses less digits than its factorization.

64866528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 64866528000 in words is "sixty-four billion, eight hundred sixty-six million, five hundred twenty-eight thousand".