22829602904640 has 3780 divisors, whose sum is σ = 105638553756252. Its totient is φ = 4661957099520.

The previous prime is 22829602904629. The next prime is 22829602904663. The reversal of 22829602904640 is 4640920692822.

22829602904640 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 96 + 0 + 2 + 90 + 464 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 13951300700736 + 8878302203904 = 3735144^2 + 2979648^2 .

It is a tau number, because it is divible by the number of its divisors (3780).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 556819583020 + ... + 556819583060.

Almost surely, 2^{22829602904640} is an apocalyptic number.

22829602904640 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 22829602904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52819276878126).

22829602904640 is an abundant number, since it is smaller than the sum of its proper divisors (82808950851612).

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

22829602904640 is a wasteful number, since it uses less digits than its factorization.

22829602904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 22829602904640 in words is "twenty-two trillion, eight hundred twenty-nine billion, six hundred two million, nine hundred four thousand, six hundred forty".