668047264872 has 192 divisors, whose sum is σ = 1853825500800. Its totient is φ = 199417075200.

The previous prime is 668047264867. The next prime is 668047264873. The reversal of 668047264872 is 278462740866.

It is a super-3 number, since 3×668047264872³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (668047264873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87106254 + ... + 87113922.

It is an arithmetic number, because the mean of its divisors is an integer number (9655341150).

Almost surely, 2^668047264872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668047264872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926912750400).

668047264872 is an abundant number, since it is smaller than the sum of its proper divisors (1185778235928).

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

668047264872 is a wasteful number, since it uses less digits than its factorization.

668047264872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7928 (or 7881 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 60.

The spelling of 668047264872 in words is "six hundred sixty-eight billion, forty-seven million, two hundred sixty-four thousand, eight hundred seventy-two".