22129712640 has 480 divisors, whose sum is σ = 89655261696. Its totient is φ = 4939038720.

The previous prime is 22129712609. The next prime is 22129712641. The reversal of 22129712640 is 4621792122.

22129712640 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 9 + 7 + 1 + 2 + 640 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 22129712595 and 22129712604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22129712641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6933445 + ... + 6936635.

Almost surely, 2^22129712640 is an apocalyptic number.

22129712640 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 22129712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44827630848).

22129712640 is an abundant number, since it is smaller than the sum of its proper divisors (67525549056).

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

22129712640 is a wasteful number, since it uses less digits than its factorization.

22129712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 22129712640 in words is "twenty-two billion, one hundred twenty-nine million, seven hundred twelve thousand, six hundred forty".