23083280640 has 864 divisors, whose sum is σ = 97810796160. Its totient is φ = 5137219584.

The previous prime is 23083280621. The next prime is 23083280669. The reversal of 23083280640 is 4608238032.

23083280640 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 3 + 2 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 23083280595 and 23083280604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72817762 + ... + 72818078.

It is an arithmetic number, because the mean of its divisors is an integer number (113206940).

Almost surely, 2^23083280640 is an apocalyptic number.

23083280640 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 23083280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48905398080).

23083280640 is an abundant number, since it is smaller than the sum of its proper divisors (74727515520).

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

23083280640 is a wasteful number, since it uses less digits than its factorization.

23083280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 377 counting only the distinct ones).

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

The spelling of 23083280640 in words is "twenty-three billion, eighty-three million, two hundred eighty thousand, six hundred forty".