664877160000 has 735 divisors, whose sum is σ = 2488366657623. Its totient is φ = 176126400000.

The previous prime is 664877159983. The next prime is 664877160037. The reversal of 664877160000 is 61778466.

The square root of 664877160000 is 815400.

It is a perfect power (a square), and thus also a powerful number.

664877160000 is a `hidden beast` number, since 6 + 6 + 487 + 7 + 160 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52126369344 + 612750790656 = 228312^2 + 782784^2 .

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

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 104 ways as a sum of consecutive naturals, for example, 4403159925 + ... + 4403160075.

Almost surely, 2^664877160000 is an apocalyptic number.

664877160000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

664877160000 is the 815400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664877160000

664877160000 is an abundant number, since it is smaller than the sum of its proper divisors (1823489497623).

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

664877160000 is an frugal number, since it uses more digits than its factorization.

664877160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 664877160000 in words is "six hundred sixty-four billion, eight hundred seventy-seven million, one hundred sixty thousand".