672627126672 has 120 divisors (see below), whose sum is σ = 1899526201560. Its totient is φ = 222177607680.

The previous prime is 672627126641. The next prime is 672627126683. The reversal of 672627126672 is 276621726276.

672627126672 is a `hidden beast` number, since 6 + 7 + 2 + 627 + 1 + 2 + 6 + 6 + 7 + 2 = 666.

672627126672 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 91104970896 + 581522155776 = 301836^2 + 762576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11195272 + ... + 11255192.

It is an arithmetic number, because the mean of its divisors is an integer number (15829385013).

Almost surely, 2^672627126672 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 672627126672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949763100780).

672627126672 is an abundant number, since it is smaller than the sum of its proper divisors (1226899074888).

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

672627126672 is a wasteful number, since it uses less digits than its factorization.

672627126672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60641 (or 60632 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 672627126672 in words is "six hundred seventy-two billion, six hundred twenty-seven million, one hundred twenty-six thousand, six hundred seventy-two".