22777630720 has 156 divisors (see below), whose sum is σ = 59196651876. Its totient is φ = 8408924160.

The previous prime is 22777630709. The next prime is 22777630723. The reversal of 22777630720 is 2703677722.

It can be written as a sum of positive squares in 6 ways, for example, as 7234523136 + 15543107584 = 85056^2 + 124672^2 .

It is a super-2 number, since 2×22777630720² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22777630723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3457830 + ... + 3464410.

Almost surely, 2^22777630720 is an apocalyptic number.

22777630720 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 22777630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29598325938).

22777630720 is an abundant number, since it is smaller than the sum of its proper divisors (36419021156).

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

22777630720 is an equidigital number, since it uses as much as digits as its factorization.

22777630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6636 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 43.

The spelling of 22777630720 in words is "twenty-two billion, seven hundred seventy-seven million, six hundred thirty thousand, seven hundred twenty".