668436866164080 has 960 divisors, whose sum is σ = 2626551257960448. Its totient is φ = 156853918679040.

The previous prime is 668436866164027. The next prime is 668436866164097. The reversal of 668436866164080 is 80461668634866.

668436866164080 is a `hidden beast` number, since 6 + 6 + 8 + 436 + 8 + 66 + 16 + 40 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 524262712 + ... + 525536168.

Almost surely, 2^{668436866164080} is an apocalyptic number.

668436866164080 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 668436866164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313275628980224).

668436866164080 is an abundant number, since it is smaller than the sum of its proper divisors (1958114391796368).

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

668436866164080 is a wasteful number, since it uses less digits than its factorization.

668436866164080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273596 (or 1273578 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 72.

The spelling of 668436866164080 in words is "six hundred sixty-eight trillion, four hundred thirty-six billion, eight hundred sixty-six million, one hundred sixty-four thousand, eighty".