22765937040 has 540 divisors, whose sum is σ = 97776796572. Its totient is φ = 4729697280.

The previous prime is 22765937021. The next prime is 22765937041. The reversal of 22765937040 is 4073956722.

22765937040 is a `hidden beast` number, since 2 + 276 + 5 + 9 + 370 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17703899136 + 5062037904 = 133056^2 + 71148^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22765937041) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4266214 + ... + 4271546.

Almost surely, 2^22765937040 is an apocalyptic number.

22765937040 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 22765937040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48888398286).

22765937040 is an abundant number, since it is smaller than the sum of its proper divisors (75010859532).

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

22765937040 is a wasteful number, since it uses less digits than its factorization.

22765937040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5388 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

It can be divided in two parts, 22765 and 937040, that added together give a triangular number (959805 = T₁₃₈₅).

The spelling of 22765937040 in words is "twenty-two billion, seven hundred sixty-five million, nine hundred thirty-seven thousand, forty".