22779574272 has 576 divisors, whose sum is σ = 84140259840. Its totient is φ = 5995855872.

The previous prime is 22779574267. The next prime is 22779574273. The reversal of 22779574272 is 27247597722.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×22779574272³ (a number of 32 digits) contains 333 as substring.

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

Its product of digits (6914880) is a multiple of the sum of its prime factors (560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22779574273) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 45287173 + ... + 45287675.

It is an arithmetic number, because the mean of its divisors is an integer number (146076840).

Almost surely, 2^22779574272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22779574272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42070129920).

22779574272 is an abundant number, since it is smaller than the sum of its proper divisors (61360685568).

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

22779574272 is an equidigital number, since it uses as much as digits as its factorization.

22779574272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 528 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 54.

The spelling of 22779574272 in words is "twenty-two billion, seven hundred seventy-nine million, five hundred seventy-four thousand, two hundred seventy-two".