664418160 has 160 divisors (see below), whose sum is σ = 2615546880. Its totient is φ = 151863552.

The previous prime is 664418147. The next prime is 664418189. The reversal of 664418160 is 61814466.

664418160 is a `hidden beast` number, since 6 + 644 + 1 + 8 + 1 + 6 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 6852 + ... + 37091.

It is an arithmetic number, because the mean of its divisors is an integer number (16347168).

Almost surely, 2^664418160 is an apocalyptic number.

664418160 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 664418160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307773440).

664418160 is an abundant number, since it is smaller than the sum of its proper divisors (1951128720).

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

664418160 is a wasteful number, since it uses less digits than its factorization.

664418160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43972 (or 43960 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 664418160 is about 25776.3100540011. The cubic root of 664418160 is about 872.5972327552.

The spelling of 664418160 in words is "six hundred sixty-four million, four hundred eighteen thousand, one hundred sixty".