2167627489728 has 112 divisors (see below), whose sum is σ = 5859712212480. Its totient is φ = 706866694144.

The previous prime is 2167627489691. The next prime is 2167627489747. The reversal of 2167627489728 is 8279847267612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21544243 + ... + 21644621.

It is an arithmetic number, because the mean of its divisors is an integer number (52318859040).

Almost surely, 2^{2167627489728} 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 2167627489728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929856106240).

2167627489728 is an abundant number, since it is smaller than the sum of its proper divisors (3692084722752).

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

2167627489728 is a wasteful number, since it uses less digits than its factorization.

2167627489728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102834 (or 102824 counting only the distinct ones).

The product of its digits is 227598336, while the sum is 69.

The spelling of 2167627489728 in words is "two trillion, one hundred sixty-seven billion, six hundred twenty-seven million, four hundred eighty-nine thousand, seven hundred twenty-eight".