2623764672 has 84 divisors (see below), whose sum is σ = 7626589776. Its totient is φ = 862256640.

The previous prime is 2623764659. The next prime is 2623764713. The reversal of 2623764672 is 2764673262.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8818 + ... + 72974.

Almost surely, 2^2623764672 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 2623764672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813294888).

2623764672 is an abundant number, since it is smaller than the sum of its proper divisors (5002825104).

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

2623764672 is a wasteful number, since it uses less digits than its factorization.

2623764672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64246 (or 64233 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 2623764672 is about 51222.6968442701. The cubic root of 2623764672 is about 1379.2456620918.

It can be divided in two parts, 26237 and 64672, that added together give a palindrome (90909).

The spelling of 2623764672 in words is "two billion, six hundred twenty-three million, seven hundred sixty-four thousand, six hundred seventy-two".