22962320640 has 720 divisors, whose sum is σ = 97228010880. Its totient is φ = 5062901760.

The previous prime is 22962320593. The next prime is 22962320653. The reversal of 22962320640 is 4602326922.

22962320640 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 2 + 3 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 22962320595 and 22962320604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21046495 + ... + 21047585.

It is an arithmetic number, because the mean of its divisors is an integer number (135038904).

Almost surely, 2^22962320640 is an apocalyptic number.

22962320640 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 22962320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48614005440).

22962320640 is an abundant number, since it is smaller than the sum of its proper divisors (74265690240).

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

22962320640 is a wasteful number, since it uses less digits than its factorization.

22962320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 22962320640 in words is "twenty-two billion, nine hundred sixty-two million, three hundred twenty thousand, six hundred forty".