2643638906832 has 160 divisors (see below), whose sum is σ = 8519135883264. Its totient is φ = 686291827200.

The previous prime is 2643638906819. The next prime is 2643638906833. The reversal of 2643638906832 is 2386098363462.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643638906833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6746857 + ... + 7127927.

Almost surely, 2^{2643638906832} is an apocalyptic number.

2643638906832 is a gapful number since it is divisible by the number (22) 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 2643638906832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259567941632).

2643638906832 is an abundant number, since it is smaller than the sum of its proper divisors (5875496976432).

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

2643638906832 is a wasteful number, since it uses less digits than its factorization.

2643638906832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382977 (or 382971 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 60.

The spelling of 2643638906832 in words is "two trillion, six hundred forty-three billion, six hundred thirty-eight million, nine hundred six thousand, eight hundred thirty-two".