22940919636480 has 1600 divisors, whose sum is σ = 87094483283808. Its totient is φ = 5763665756160.

The previous prime is 22940919636463. The next prime is 22940919636559. The reversal of 22940919636480 is 8463691904922.

22940919636480 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 0 + 9 + 196 + 364 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1343410811136 + 21597508825344 = 1159056^2 + 4647312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73293672804 + ... + 73293673116.

Almost surely, 2^{22940919636480} is an apocalyptic number.

22940919636480 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 22940919636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43547241641904).

22940919636480 is an abundant number, since it is smaller than the sum of its proper divisors (64153563647328).

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

22940919636480 is a wasteful number, since it uses less digits than its factorization.

22940919636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 22940919636480 in words is "twenty-two trillion, nine hundred forty billion, nine hundred nineteen million, six hundred thirty-six thousand, four hundred eighty".