2796561267864 has 512 divisors, whose sum is σ = 9357078528000. Its totient is φ = 689677148160.

The previous prime is 2796561267827. The next prime is 2796561267943. The reversal of 2796561267864 is 4687621656972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 285620809 + ... + 285630599.

It is an arithmetic number, because the mean of its divisors is an integer number (18275544000).

Almost surely, 2^{2796561267864} is an apocalyptic number.

2796561267864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2796561267864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678539264000).

2796561267864 is an abundant number, since it is smaller than the sum of its proper divisors (6560517260136).

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

2796561267864 is a wasteful number, since it uses less digits than its factorization.

2796561267864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10008 (or 9990 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 69.

The spelling of 2796561267864 in words is "two trillion, seven hundred ninety-six billion, five hundred sixty-one million, two hundred sixty-seven thousand, eight hundred sixty-four".