2627168712 has 128 divisors (see below), whose sum is σ = 8110368000. Its totient is φ = 706427904.

The previous prime is 2627168711. The next prime is 2627168723. The reversal of 2627168712 is 2178617262.

2627168712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2627168711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130558 + ... + 149330.

It is an arithmetic number, because the mean of its divisors is an integer number (63362250).

Almost surely, 2^2627168712 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 2627168712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055184000).

2627168712 is an abundant number, since it is smaller than the sum of its proper divisors (5483199288).

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

2627168712 is a wasteful number, since it uses less digits than its factorization.

2627168712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18820 (or 18802 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 2627168712 is about 51255.9139222002. The cubic root of 2627168712 is about 1379.8418764425.

The spelling of 2627168712 in words is "two billion, six hundred twenty-seven million, one hundred sixty-eight thousand, seven hundred twelve".