22642944480 has 864 divisors, whose sum is σ = 90645609600. Its totient is φ = 5128261632.

The previous prime is 22642944439. The next prime is 22642944491. The reversal of 22642944480 is 8444924622.

22642944480 is a `hidden beast` number, since 22 + 64 + 2 + 94 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 272806519 + ... + 272806601.

It is an arithmetic number, because the mean of its divisors is an integer number (104913900).

Almost surely, 2^22642944480 is an apocalyptic number.

22642944480 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 22642944480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45322804800).

22642944480 is an abundant number, since it is smaller than the sum of its proper divisors (68002665120).

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

22642944480 is a wasteful number, since it uses less digits than its factorization.

22642944480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 22642944480 in words is "twenty-two billion, six hundred forty-two million, nine hundred forty-four thousand, four hundred eighty".