664086578400 has 288 divisors, whose sum is σ = 2744891815680. Its totient is φ = 151791183360.

The previous prime is 664086578399. The next prime is 664086578417. The reversal of 664086578400 is 4875680466.

664086578400 is a `hidden beast` number, since 6 + 64 + 0 + 8 + 6 + 578 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×664086578400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2044854 + ... + 2347253.

It is an arithmetic number, because the mean of its divisors is an integer number (9530874360).

Almost surely, 2^664086578400 is an apocalyptic number.

664086578400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

664086578400 is an abundant number, since it is smaller than the sum of its proper divisors (2080805237280).

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

664086578400 is a wasteful number, since it uses less digits than its factorization.

664086578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392143 (or 4392124 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 664086578400 in words is "six hundred sixty-four billion, eighty-six million, five hundred seventy-eight thousand, four hundred".