668366496 has 144 divisors (see below), whose sum is σ = 2286648000. Its totient is φ = 180900864.

The previous prime is 668366471. The next prime is 668366513. The reversal of 668366496 is 694663866.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29580 + ... + 47028.

It is an arithmetic number, because the mean of its divisors is an integer number (15879500).

Almost surely, 2^668366496 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 668366496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143324000).

668366496 is an abundant number, since it is smaller than the sum of its proper divisors (1618281504).

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

668366496 is a wasteful number, since it uses less digits than its factorization.

668366496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17491 (or 17480 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 668366496 is about 25852.7850724056. The cubic root of 668366496 is about 874.3223034430.

The spelling of 668366496 in words is "six hundred sixty-eight million, three hundred sixty-six thousand, four hundred ninety-six".