664402176000000 has 1575 divisors, whose sum is σ = 2495086155203257. Its totient is φ = 176184115200000.

The previous prime is 664402175999963. The next prime is 664402176000041. The reversal of 664402176000000 is 671204466.

The square root of 664402176000000 is 25776000.

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

664402176000000 is a `hidden beast` number, since 6 + 6 + 4 + 40 + 2 + 1 + 7 + 600 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 582080088784896 + 82322087215104 = 24126336^2 + 9073152^2 .

It is a super-3 number, since 3×664402176000000³ (a number of 45 digits) contains 333 as substring.

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

It is a Duffinian 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 104 ways as a sum of consecutive naturals, for example, 3711743999911 + ... + 3711744000089.

Almost surely, 2^{664402176000000} is an apocalyptic number.

664402176000000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

664402176000000 is the 25776000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664402176000000

664402176000000 is an abundant number, since it is smaller than the sum of its proper divisors (1830683979203257).

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

664402176000000 is an frugal number, since it uses more digits than its factorization.

664402176000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

664402176000000 divided by its sum of digits (36) gives a square (18455616000000 = 4296000²).

The spelling of 664402176000000 in words is "six hundred sixty-four trillion, four hundred two billion, one hundred seventy-six million", and thus it is an aban number.