22764774400 has 297 divisors, whose sum is σ = 60463035283. Its totient is φ = 8497561600.

The previous prime is 22764774371. The next prime is 22764774413. The reversal of 22764774400 is 447746722.

It is a happy number.

The square root of 22764774400 is 150880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9582060544 + 13182713856 = 97888^2 + 114816^2 .

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 26 ways as a sum of consecutive naturals, for example, 555238380 + ... + 555238420.

Almost surely, 2^22764774400 is an apocalyptic number.

22764774400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22764774400 is the 150880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22764774400

22764774400 is an abundant number, since it is smaller than the sum of its proper divisors (37698260883).

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

22764774400 is an equidigital number, since it uses as much as digits as its factorization.

22764774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 43.

The spelling of 22764774400 in words is "twenty-two billion, seven hundred sixty-four million, seven hundred seventy-four thousand, four hundred".