668570538746880 has 6600 divisors, whose sum is σ = 3188905845269760. Its totient is φ = 133691262566400.

The previous prime is 668570538746839. The next prime is 668570538746977. The reversal of 668570538746880 is 88647835075866.

668570538746880 is a `hidden beast` number, since 6 + 6 + 8 + 5 + 7 + 0 + 538 + 74 + 6 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 668570538746880.

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 3735030942631 + ... + 3735030942809.

Almost surely, 2^{668570538746880} is an apocalyptic number.

668570538746880 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 668570538746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594452922634880).

668570538746880 is an abundant number, since it is smaller than the sum of its proper divisors (2520335306522880).

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

668570538746880 is a wasteful number, since it uses less digits than its factorization.

668570538746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 13005619200, while the sum is 81.

The spelling of 668570538746880 in words is "six hundred sixty-eight trillion, five hundred seventy billion, five hundred thirty-eight million, seven hundred forty-six thousand, eight hundred eighty".