22834768320 has 1008 divisors, whose sum is σ = 102258924768. Its totient is φ = 4807434240.

The previous prime is 22834768303. The next prime is 22834768357. The reversal of 22834768320 is 2386743822.

22834768320 is a `hidden beast` number, since 2 + 2 + 83 + 476 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 49532890 + ... + 49533350.

It is an arithmetic number, because the mean of its divisors is an integer number (101447346).

Almost surely, 2^22834768320 is an apocalyptic number.

22834768320 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 22834768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51129462384).

22834768320 is an abundant number, since it is smaller than the sum of its proper divisors (79424156448).

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

22834768320 is a wasteful number, since it uses less digits than its factorization.

22834768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 22834768320 in words is "twenty-two billion, eight hundred thirty-four million, seven hundred sixty-eight thousand, three hundred twenty".