664074180 has 192 divisors, whose sum is σ = 2575964160. Its totient is φ = 137980800.

The previous prime is 664074137. The next prime is 664074217. The reversal of 664074180 is 81470466.

664074180 is a `hidden beast` number, since 6 + 640 + 7 + 4 + 1 + 8 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 33595 + ... + 49565.

It is an arithmetic number, because the mean of its divisors is an integer number (13416480).

Almost surely, 2^664074180 is an apocalyptic number.

664074180 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 664074180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287982080).

664074180 is an abundant number, since it is smaller than the sum of its proper divisors (1911889980).

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

664074180 is a wasteful number, since it uses less digits than its factorization.

664074180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16007 (or 15999 counting only the distinct ones).

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

The square root of 664074180 is about 25769.6367844019. The cubic root of 664074180 is about 872.4466208726.

The spelling of 664074180 in words is "six hundred sixty-four million, seventy-four thousand, one hundred eighty".