2696637433664 has 84 divisors (see below), whose sum is σ = 5686276781856. Its totient is φ = 1268593342464.

The previous prime is 2696637433591. The next prime is 2696637433667. The reversal of 2696637433664 is 4663347366962.

2696637433664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2696637433664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2696637433667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61144229 + ... + 61188315.

Almost surely, 2^{2696637433664} 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 2696637433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843138390928).

2696637433664 is an abundant number, since it is smaller than the sum of its proper divisors (2989639348192).

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

2696637433664 is a wasteful number, since it uses less digits than its factorization.

2696637433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47440 (or 47413 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 65.

The spelling of 2696637433664 in words is "two trillion, six hundred ninety-six billion, six hundred thirty-seven million, four hundred thirty-three thousand, six hundred sixty-four".