668572571520 has 1536 divisors, whose sum is σ = 2892674304000. Its totient is φ = 138884087808.

The previous prime is 668572571431. The next prime is 668572571533. The reversal of 668572571520 is 25175275866.

668572571520 is a `hidden beast` number, since 6 + 6 + 8 + 572 + 57 + 15 + 2 + 0 = 666.

It is a super-2 number, since 2×668572571520² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2919530766 + ... + 2919530994.

It is an arithmetic number, because the mean of its divisors is an integer number (1883251500).

Almost surely, 2^668572571520 is an apocalyptic number.

668572571520 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 668572571520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446337152000).

668572571520 is an abundant number, since it is smaller than the sum of its proper divisors (2224101732480).

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

668572571520 is a wasteful number, since it uses less digits than its factorization.

668572571520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 668572571520 in words is "six hundred sixty-eight billion, five hundred seventy-two million, five hundred seventy-one thousand, five hundred twenty".