22681282680 has 1152 divisors, whose sum is σ = 97314048000. Its totient is φ = 4546160640.

The previous prime is 22681282633. The next prime is 22681282763. The reversal of 22681282680 is 8628218622.

22681282680 is a `hidden beast` number, since 2 + 268 + 128 + 268 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 384428491 + ... + 384428549.

It is an arithmetic number, because the mean of its divisors is an integer number (84474000).

Almost surely, 2^22681282680 is an apocalyptic number.

22681282680 is a gapful number since it is divisible by the number (20) 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 22681282680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48657024000).

22681282680 is an abundant number, since it is smaller than the sum of its proper divisors (74632765320).

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

22681282680 is a wasteful number, since it uses less digits than its factorization.

22681282680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 22681282680 in words is "twenty-two billion, six hundred eighty-one million, two hundred eighty-two thousand, six hundred eighty".