10322540268768 has 1152 divisors, whose sum is σ = 39729088998144. Its totient is φ = 2465228390400.

The previous prime is 10322540268661. The next prime is 10322540268769. The reversal of 10322540268768 is 86786204522301.

10322540268768 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 2 + 540 + 26 + 8 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10322540268769) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1333485378 + ... + 1333493118.

It is an arithmetic number, because the mean of its divisors is an integer number (34487056422).

Almost surely, 2^{10322540268768} is an apocalyptic number.

10322540268768 is a gapful number since it is divisible by the number (18) 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 10322540268768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19864544499072).

10322540268768 is an abundant number, since it is smaller than the sum of its proper divisors (29406548729376).

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

10322540268768 is a wasteful number, since it uses less digits than its factorization.

10322540268768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7908 (or 7897 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 10322540268768 in words is "ten trillion, three hundred twenty-two billion, five hundred forty million, two hundred sixty-eight thousand, seven hundred sixty-eight".