668376072 has 432 divisors, whose sum is σ = 2440854000. Its totient is φ = 164166912.

The previous prime is 668376061. The next prime is 668376073. The reversal of 668376072 is 270673866.

668376072 is a `hidden beast` number, since 6 + 6 + 8 + 37 + 607 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (668376073) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11328379 + ... + 11328437.

It is an arithmetic number, because the mean of its divisors is an integer number (5650125).

Almost surely, 2^668376072 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 668376072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220427000).

668376072 is an abundant number, since it is smaller than the sum of its proper divisors (1772477928).

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

668376072 is a wasteful number, since it uses less digits than its factorization.

668376072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 668376072 is about 25852.9702742257. The cubic root of 668376072 is about 874.3264790315.

The spelling of 668376072 in words is "six hundred sixty-eight million, three hundred seventy-six thousand, seventy-two".