668946432 has 312 divisors, whose sum is σ = 2285878752. Its totient is φ = 172032000.

The previous prime is 668946431. The next prime is 668946461. The reversal of 668946432 is 234649866.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668946431) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6623182 + ... + 6623282.

Almost surely, 2^668946432 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 668946432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142939376).

668946432 is an abundant number, since it is smaller than the sum of its proper divisors (1616932320).

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

668946432 is a wasteful number, since it uses less digits than its factorization.

668946432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 668946432 is about 25863.9987627590. The cubic root of 668946432 is about 874.5751110460.

It can be divided in two parts, 66 and 8946432, that added together give a palindrome (8946498).

The spelling of 668946432 in words is "six hundred sixty-eight million, nine hundred forty-six thousand, four hundred thirty-two".