22729973760 has 1120 divisors, whose sum is σ = 95913683712. Its totient is φ = 5096079360.

The previous prime is 22729973731. The next prime is 22729973779. The reversal of 22729973760 is 6737992722.

22729973760 is a `hidden beast` number, since 227 + 299 + 73 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22729973697 and 22729973706.

It is a congruent number.

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, 733224945 + ... + 733224975.

Almost surely, 2^22729973760 is an apocalyptic number.

22729973760 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 22729973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47956841856).

22729973760 is an abundant number, since it is smaller than the sum of its proper divisors (73183709952).

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

22729973760 is a wasteful number, since it uses less digits than its factorization.

22729973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 22729973760 in words is "twenty-two billion, seven hundred twenty-nine million, nine hundred seventy-three thousand, seven hundred sixty".