668072832 has 256 divisors, whose sum is σ = 2172518400. Its totient is φ = 177666048.

The previous prime is 668072827. The next prime is 668072833. The reversal of 668072832 is 238270866.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668072833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5260353 + ... + 5260479.

It is an arithmetic number, because the mean of its divisors is an integer number (8486400).

Almost surely, 2^668072832 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 668072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086259200).

668072832 is an abundant number, since it is smaller than the sum of its proper divisors (1504445568).

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

668072832 is a wasteful number, since it uses less digits than its factorization.

668072832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 668072832 is about 25847.1049055789. The cubic root of 668072832 is about 874.1942326914.

The spelling of 668072832 in words is "six hundred sixty-eight million, seventy-two thousand, eight hundred thirty-two".