668293632 has 160 divisors (see below), whose sum is σ = 2047636800. Its totient is φ = 214953984.

The previous prime is 668293607. The next prime is 668293693. The reversal of 668293632 is 236392866.

668293632 is a `hidden beast` number, since 6 + 6 + 8 + 2 + 9 + 3 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400063 + ... + 401729.

It is an arithmetic number, because the mean of its divisors is an integer number (12797730).

Almost surely, 2^668293632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668293632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023818400).

668293632 is an abundant number, since it is smaller than the sum of its proper divisors (1379343168).

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

668293632 is a wasteful number, since it uses less digits than its factorization.

668293632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1701 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 668293632 is about 25851.3758241220. The cubic root of 668293632 is about 874.2905299894.

The spelling of 668293632 in words is "six hundred sixty-eight million, two hundred ninety-three thousand, six hundred thirty-two".