664377120 has 576 divisors, whose sum is σ = 2702730240. Its totient is φ = 152064000.

The previous prime is 664377113. The next prime is 664377163. The reversal of 664377120 is 21773466.

664377120 is a `hidden beast` number, since 6 + 643 + 7 + 7 + 1 + 2 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16204300 + ... + 16204340.

It is an arithmetic number, because the mean of its divisors is an integer number (4692240).

Almost surely, 2^664377120 is an apocalyptic number.

664377120 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 664377120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351365120).

664377120 is an abundant number, since it is smaller than the sum of its proper divisors (2038353120).

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

664377120 is a wasteful number, since it uses less digits than its factorization.

664377120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 664377120 is about 25775.5139618980. The cubic root of 664377120 is about 872.5792660940.

The spelling of 664377120 in words is "six hundred sixty-four million, three hundred seventy-seven thousand, one hundred twenty".