6837536904672 has 144 divisors (see below), whose sum is σ = 19069949655792. Its totient is φ = 2144714342400.

The previous prime is 6837536904617. The next prime is 6837536904701. The reversal of 6837536904672 is 2764096357386.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174795388 + ... + 174834500.

It is an arithmetic number, because the mean of its divisors is an integer number (132430205943).

Almost surely, 2^{6837536904672} 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 6837536904672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9534974827896).

6837536904672 is an abundant number, since it is smaller than the sum of its proper divisors (12232412751120).

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

6837536904672 is a wasteful number, since it uses less digits than its factorization.

6837536904672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45461 (or 45436 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 66.

The spelling of 6837536904672 in words is "six trillion, eight hundred thirty-seven billion, five hundred thirty-six million, nine hundred four thousand, six hundred seventy-two".