2637436672 has 72 divisors (see below), whose sum is σ = 5685026256. Its totient is φ = 1213956096.

The previous prime is 2637436649. The next prime is 2637436673. The reversal of 2637436672 is 2766347362.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2637436673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1553328 + ... + 1555024.

It is an arithmetic number, because the mean of its divisors is an integer number (78958698).

Almost surely, 2^2637436672 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 2637436672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842513128).

2637436672 is an abundant number, since it is smaller than the sum of its proper divisors (3047589584).

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

2637436672 is a wasteful number, since it uses less digits than its factorization.

2637436672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2179 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 46.

The square root of 2637436672 is about 51355.9799049731. The cubic root of 2637436672 is about 1381.6371859636.

The spelling of 2637436672 in words is "two billion, six hundred thirty-seven million, four hundred thirty-six thousand, six hundred seventy-two".