668253901824 has 176 divisors, whose sum is σ = 1983051720000. Its totient is φ = 222300315648.

The previous prime is 668253901789. The next prime is 668253901873. The reversal of 668253901824 is 428109352866.

668253901824 is a `hidden beast` number, since 6 + 6 + 82 + 539 + 0 + 1 + 8 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13772134 + ... + 13820570.

Almost surely, 2^668253901824 is an apocalyptic number.

668253901824 is a gapful number since it is divisible by the number (64) 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 668253901824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991525860000).

668253901824 is an abundant number, since it is smaller than the sum of its proper divisors (1314797818176).

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

668253901824 is a wasteful number, since it uses less digits than its factorization.

668253901824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48965 (or 48941 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 668253901824 in words is "six hundred sixty-eight billion, two hundred fifty-three million, nine hundred one thousand, eight hundred twenty-four".