664164360 has 160 divisors (see below), whose sum is σ = 2242468800. Its totient is φ = 176307840.

The previous prime is 664164331. The next prime is 664164373. The reversal of 664164360 is 63461466.

664164360 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 643 + 6 + 0 = 666.

It is a super-2 number, since 2×664164360² = 882228594188419200, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1162875 + ... + 1163445.

It is an arithmetic number, because the mean of its divisors is an integer number (14015430).

Almost surely, 2^664164360 is an apocalyptic number.

664164360 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 664164360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121234400).

664164360 is an abundant number, since it is smaller than the sum of its proper divisors (1578304440).

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

664164360 is a wasteful number, since it uses less digits than its factorization.

664164360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 664164360 is about 25771.3864586289. The cubic root of 664164360 is about 872.4861112777.

The spelling of 664164360 in words is "six hundred sixty-four million, one hundred sixty-four thousand, three hundred sixty".