22042687968 has 288 divisors, whose sum is σ = 79847389440. Its totient is φ = 5615308800.

The previous prime is 22042687921. The next prime is 22042687973. The reversal of 22042687968 is 86978624022.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×22042687968² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634243 + ... + 668093.

It is an arithmetic number, because the mean of its divisors is an integer number (277247880).

Almost surely, 2^22042687968 is an apocalyptic number.

22042687968 is a gapful number since it is divisible by the number (28) 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 22042687968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39923694720).

22042687968 is an abundant number, since it is smaller than the sum of its proper divisors (57804701472).

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

22042687968 is a wasteful number, since it uses less digits than its factorization.

22042687968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33910 (or 33899 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 22042687968 in words is "twenty-two billion, forty-two million, six hundred eighty-seven thousand, nine hundred sixty-eight".