2722637668608 has 648 divisors, whose sum is σ = 9530621755200. Its totient is φ = 736924262400.

The previous prime is 2722637668601. The next prime is 2722637668613. The reversal of 2722637668608 is 8068667362272.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2722637668601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 316618293 + ... + 316626891.

Almost surely, 2^{2722637668608} 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 2722637668608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765310877600).

2722637668608 is an abundant number, since it is smaller than the sum of its proper divisors (6807984086592).

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

2722637668608 is a wasteful number, since it uses less digits than its factorization.

2722637668608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8707 (or 8659 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 2722637668608 in words is "two trillion, seven hundred twenty-two billion, six hundred thirty-seven million, six hundred sixty-eight thousand, six hundred eight".