664928110080 has 2560 divisors, whose sum is σ = 2969809920000. Its totient is φ = 139122966528.

The previous prime is 664928110073. The next prime is 664928110087. The reversal of 664928110080 is 80011829466.

664928110080 is a `hidden beast` number, since 6 + 6 + 492 + 81 + 1 + 0 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (664928110073) and next prime (664928110087).

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664928110087) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8416811481 + ... + 8416811559.

It is an arithmetic number, because the mean of its divisors is an integer number (1160082000).

Almost surely, 2^664928110080 is an apocalyptic number.

664928110080 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 664928110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960000).

664928110080 is an abundant number, since it is smaller than the sum of its proper divisors (2304881809920).

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

664928110080 is a wasteful number, since it uses less digits than its factorization.

664928110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 664928110080 in words is "six hundred sixty-four billion, nine hundred twenty-eight million, one hundred ten thousand, eighty".