23649871680 has 168 divisors, whose sum is σ = 81531333000. Its totient is φ = 6292242432.

The previous prime is 23649871669. The next prime is 23649871681. The reversal of 23649871680 is 8617894632.

23649871680 is a `hidden beast` number, since 2 + 3 + 6 + 498 + 71 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10078553664 + 13571318016 = 100392^2 + 116496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23649871681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1283976 + ... + 1302264.

Almost surely, 2^23649871680 is an apocalyptic number.

23649871680 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 23649871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40765666500).

23649871680 is an abundant number, since it is smaller than the sum of its proper divisors (57881461320).

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

23649871680 is a wasteful number, since it uses less digits than its factorization.

23649871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18761 (or 18748 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 23649871680 in words is "twenty-three billion, six hundred forty-nine million, eight hundred seventy-one thousand, six hundred eighty".