23634028080 has 360 divisors, whose sum is σ = 87964267248. Its totient is φ = 5681055744.

The previous prime is 23634027983. The next prime is 23634028087. The reversal of 23634028080 is 8082043632.

23634028080 is a `hidden beast` number, since 2 + 36 + 340 + 280 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23634028087) 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 71 ways as a sum of consecutive naturals, for example, 5229982 + ... + 5234498.

Almost surely, 2^23634028080 is an apocalyptic number.

23634028080 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 23634028080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43982133624).

23634028080 is an abundant number, since it is smaller than the sum of its proper divisors (64330239168).

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

23634028080 is a wasteful number, since it uses less digits than its factorization.

23634028080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4583 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 23634028080 in words is "twenty-three billion, six hundred thirty-four million, twenty-eight thousand, eighty".