8268822828640 has 96 divisors (see below), whose sum is σ = 21321534334464. Its totient is φ = 3005359971840.

The previous prime is 8268822828601. The next prime is 8268822828659. The reversal of 8268822828640 is 468282288628.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2408617 + ... + 4726423.

It is an arithmetic number, because the mean of its divisors is an integer number (222099315984).

Almost surely, 2^{8268822828640} is an apocalyptic number.

8268822828640 is a gapful number since it is divisible by the number (80) 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 8268822828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10660767167232).

8268822828640 is an abundant number, since it is smaller than the sum of its proper divisors (13052711505824).

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

8268822828640 is a wasteful number, since it uses less digits than its factorization.

8268822828640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319860 (or 2319852 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 64.

The spelling of 8268822828640 in words is "eight trillion, two hundred sixty-eight billion, eight hundred twenty-two million, eight hundred twenty-eight thousand, six hundred forty".