664174080 has 200 divisors, whose sum is σ = 2379604392. Its totient is φ = 177057792.

The previous prime is 664174031. The next prime is 664174097. The reversal of 664174080 is 80471466.

664174080 is a `hidden beast` number, since 6 + 641 + 7 + 4 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×664174080² = 882254417087692800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 205759 + ... + 208961.

Almost surely, 2^664174080 is an apocalyptic number.

664174080 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 664174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189802196).

664174080 is an abundant number, since it is smaller than the sum of its proper divisors (1715430312).

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

664174080 is an equidigital number, since it uses as much as digits as its factorization.

664174080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 664174080 is about 25771.5750391783. The cubic root of 664174080 is about 872.4903675152.

The spelling of 664174080 in words is "six hundred sixty-four million, one hundred seventy-four thousand, eighty".