22633785720 has 2048 divisors, whose sum is σ = 111476736000. Its totient is φ = 3941498880.

The previous prime is 22633785719. The next prime is 22633785761. The reversal of 22633785720 is 2758733622.

22633785720 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 3 + 78 + 572 + 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 511 ways as a sum of consecutive naturals, for example, 730122105 + ... + 730122135.

It is an arithmetic number, because the mean of its divisors is an integer number (54432000).

Almost surely, 2^22633785720 is an apocalyptic number.

22633785720 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 22633785720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55738368000).

22633785720 is an abundant number, since it is smaller than the sum of its proper divisors (88842950280).

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

22633785720 is a wasteful number, since it uses less digits than its factorization.

22633785720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 22633785720 in words is "twenty-two billion, six hundred thirty-three million, seven hundred eighty-five thousand, seven hundred twenty".