22782468828672 has 1920 divisors, whose sum is σ = 84621820428288. Its totient is φ = 5752199577600.

The previous prime is 22782468828593. The next prime is 22782468828719. The reversal of 22782468828672 is 27682886428722.

22782468828672 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 2 + 468 + 82 + 86 + 7 + 2 = 666.

It is a super-2 number, since 2×22782468828672² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22782468828672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 131690571178 + ... + 131690571350.

Almost surely, 2^{22782468828672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22782468828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42310910214144).

22782468828672 is an abundant number, since it is smaller than the sum of its proper divisors (61839351599616).

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

22782468828672 is a wasteful number, since it uses less digits than its factorization.

22782468828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 421 counting only the distinct ones).

The product of its digits is 924844032, while the sum is 72.

The spelling of 22782468828672 in words is "twenty-two trillion, seven hundred eighty-two billion, four hundred sixty-eight million, eight hundred twenty-eight thousand, six hundred seventy-two".