23645820240 has 480 divisors, whose sum is σ = 95414607360. Its totient is φ = 5366559744.

The previous prime is 23645820239. The next prime is 23645820259. The reversal of 23645820240 is 4202854632.

23645820240 is a `hidden beast` number, since 2 + 3 + 645 + 8 + 2 + 0 + 2 + 4 + 0 = 666.

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 = 23645820195 and 23645820204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16616169 + ... + 16617591.

It is an arithmetic number, because the mean of its divisors is an integer number (198780432).

Almost surely, 2^23645820240 is an apocalyptic number.

23645820240 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 23645820240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47707303680).

23645820240 is an abundant number, since it is smaller than the sum of its proper divisors (71768787120).

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

23645820240 is a wasteful number, since it uses less digits than its factorization.

23645820240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 23645820240 in words is "twenty-three billion, six hundred forty-five million, eight hundred twenty thousand, two hundred forty".