22710680640 has 448 divisors, whose sum is σ = 83497155840. Its totient is φ = 5806080000.

The previous prime is 22710680633. The next prime is 22710680653. The reversal of 22710680640 is 4608601722.

22710680640 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 0 + 6 + 8 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22710680595 and 22710680604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21608115 + ... + 21609165.

It is an arithmetic number, because the mean of its divisors is an integer number (186377580).

Almost surely, 2^22710680640 is an apocalyptic number.

22710680640 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 22710680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41748577920).

22710680640 is an abundant number, since it is smaller than the sum of its proper divisors (60786475200).

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

22710680640 is a wasteful number, since it uses less digits than its factorization.

22710680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 22710680640 in words is "twenty-two billion, seven hundred ten million, six hundred eighty thousand, six hundred forty".