668233359360 has 1568 divisors, whose sum is σ = 2887979512320. Its totient is φ = 145047158784.

The previous prime is 668233359347. The next prime is 668233359419. The reversal of 668233359360 is 63953332866.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 668233359297 and 668233359306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4807434171 + ... + 4807434309.

Almost surely, 2^668233359360 is an apocalyptic number.

668233359360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668233359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443989756160).

668233359360 is an abundant number, since it is smaller than the sum of its proper divisors (2219746152960).

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

668233359360 is an equidigital number, since it uses as much as digits as its factorization.

668233359360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 668233359360 in words is "six hundred sixty-eight billion, two hundred thirty-three million, three hundred fifty-nine thousand, three hundred sixty".