22340634624 has 864 divisors, whose sum is σ = 85642764480. Its totient is φ = 5693276160.

The previous prime is 22340634611. The next prime is 22340634629. The reversal of 22340634624 is 42643604322.

22340634624 is a `hidden beast` number, since 2 + 23 + 4 + 0 + 6 + 3 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22340634629) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 421521382 + ... + 421521434.

It is an arithmetic number, because the mean of its divisors is an integer number (99123570).

Almost surely, 2^22340634624 is an apocalyptic number.

22340634624 is a gapful number since it is divisible by the number (24) 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 22340634624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42821382240).

22340634624 is an abundant number, since it is smaller than the sum of its proper divisors (63302129856).

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

22340634624 is an equidigital number, since it uses as much as digits as its factorization.

22340634624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 22340634624 in words is "twenty-two billion, three hundred forty million, six hundred thirty-four thousand, six hundred twenty-four".