22766776400 has 60 divisors (see below), whose sum is σ = 54859811292. Its totient is φ = 9079633920.

The previous prime is 22766776381. The next prime is 22766776441. The reversal of 22766776400 is 467766722.

It can be written as a sum of positive squares in 6 ways, for example, as 7869109264 + 14897667136 = 88708^2 + 122056^2 .

It is a super-2 number, since 2×22766776400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50354 + ... + 219246.

Almost surely, 2^22766776400 is an apocalyptic number.

22766776400 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 22766776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27429905646).

22766776400 is an abundant number, since it is smaller than the sum of its proper divisors (32093034892).

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

22766776400 is a wasteful number, since it uses less digits than its factorization.

22766776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169248 (or 169237 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 47.

The spelling of 22766776400 in words is "twenty-two billion, seven hundred sixty-six million, seven hundred seventy-six thousand, four hundred".