23032776960 has 216 divisors, whose sum is σ = 80042357304. Its totient is φ = 6115000320.

The previous prime is 23032776953. The next prime is 23032776967. The reversal of 23032776960 is 6967723032.

23032776960 is a `hidden beast` number, since 230 + 327 + 7 + 6 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23032776953) and next prime (23032776967).

It can be written as a sum of positive squares in 4 ways, for example, as 1119303936 + 21913473024 = 33456^2 + 148032^2 .

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 (23032776967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2679870 + ... + 2688450.

It is an arithmetic number, because the mean of its divisors is an integer number (370566469).

Almost surely, 2^23032776960 is an apocalyptic number.

23032776960 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 23032776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40021178652).

23032776960 is an abundant number, since it is smaller than the sum of its proper divisors (57009580344).

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

23032776960 is a wasteful number, since it uses less digits than its factorization.

23032776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8841 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 23032776960 in words is "twenty-three billion, thirty-two million, seven hundred seventy-six thousand, nine hundred sixty".