668858692320 has 1920 divisors, whose sum is σ = 3125107028736. Its totient is φ = 130714435584.

The previous prime is 668858692289. The next prime is 668858692321. The reversal of 668858692320 is 23296858866.

668858692320 is a `hidden beast` number, since 6 + 6 + 8 + 8 + 586 + 9 + 23 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668858692321) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1463585532 + ... + 1463585988.

Almost surely, 2^668858692320 is an apocalyptic number.

668858692320 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 668858692320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562553514368).

668858692320 is an abundant number, since it is smaller than the sum of its proper divisors (2456248336416).

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

668858692320 is a wasteful number, since it uses less digits than its factorization.

668858692320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

It can be divided in two parts, 66885 and 8692320, that added together give a triangular number (8759205 = T₄₁₈₅).

The spelling of 668858692320 in words is "six hundred sixty-eight billion, eight hundred fifty-eight million, six hundred ninety-two thousand, three hundred twenty".