22678444800 has 1080 divisors, whose sum is σ = 94672659312. Its totient is φ = 5308416000.

The previous prime is 22678444787. The next prime is 22678444819. The reversal of 22678444800 is 844487622.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 233798352 + ... + 233798448.

Almost surely, 2^22678444800 is an apocalyptic number.

22678444800 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 22678444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47336329656).

22678444800 is an abundant number, since it is smaller than the sum of its proper divisors (71994214512).

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

22678444800 is a wasteful number, since it uses less digits than its factorization.

22678444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 22678444800 in words is "twenty-two billion, six hundred seventy-eight million, four hundred forty-four thousand, eight hundred".