22650619680 has 480 divisors, whose sum is σ = 86606183664. Its totient is φ = 5541986304.

The previous prime is 22650619657. The next prime is 22650619709. The reversal of 22650619680 is 8691605622.

22650619680 is a `hidden beast` number, since 2 + 26 + 5 + 0 + 619 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9651883536 + 12998736144 = 98244^2 + 114012^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39255552 + ... + 39256128.

Almost surely, 2^22650619680 is an apocalyptic number.

22650619680 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 22650619680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43303091832).

22650619680 is an abundant number, since it is smaller than the sum of its proper divisors (63955563984).

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

22650619680 is a wasteful number, since it uses less digits than its factorization.

22650619680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 22650619680 in words is "twenty-two billion, six hundred fifty million, six hundred nineteen thousand, six hundred eighty".