668524883040 has 864 divisors, whose sum is σ = 2957902103520. Its totient is φ = 136243150848.

The previous prime is 668524882973. The next prime is 668524883069. The reversal of 668524883040 is 40388425866.

668524883040 is a `hidden beast` number, since 6 + 6 + 8 + 524 + 88 + 30 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22776214 + ... + 22805546.

It is an arithmetic number, because the mean of its divisors is an integer number (3423497805).

Almost surely, 2^668524883040 is an apocalyptic number.

668524883040 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 668524883040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478951051760).

668524883040 is an abundant number, since it is smaller than the sum of its proper divisors (2289377220480).

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

668524883040 is a wasteful number, since it uses less digits than its factorization.

668524883040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29404 (or 29386 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 668524883040 in words is "six hundred sixty-eight billion, five hundred twenty-four million, eight hundred eighty-three thousand, forty".