2643076832256 has 792 divisors, whose sum is σ = 9352237964160. Its totient is φ = 730341826560.

The previous prime is 2643076832191. The next prime is 2643076832303. The reversal of 2643076832256 is 6522386703462.

2643076832256 is a `hidden beast` number, since 2 + 6 + 4 + 307 + 6 + 8 + 322 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1673892075 + ... + 1673893653.

Almost surely, 2^{2643076832256} 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 2643076832256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676118982080).

2643076832256 is an abundant number, since it is smaller than the sum of its proper divisors (6709161131904).

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

2643076832256 is an equidigital number, since it uses as much as digits as its factorization.

2643076832256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 2643076832256 in words is "two trillion, six hundred forty-three billion, seventy-six million, eight hundred thirty-two thousand, two hundred fifty-six".