64088064000 has 960 divisors, whose sum is σ = 253537939200. Its totient is φ = 15925248000.

The previous prime is 64088063959. The next prime is 64088064011. The reversal of 64088064000 is 46088046.

64088064000 is a `hidden beast` number, since 6 + 4 + 0 + 8 + 8 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1050623970 + ... + 1050624030.

It is an arithmetic number, because the mean of its divisors is an integer number (264102020).

Almost surely, 2^64088064000 is an apocalyptic number.

64088064000 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 64088064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126768969600).

64088064000 is an abundant number, since it is smaller than the sum of its proper divisors (189449875200).

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

64088064000 is an equidigital number, since it uses as much as digits as its factorization.

64088064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 64088064000 in words is "sixty-four billion, eighty-eight million, sixty-four thousand".