23056442640 has 960 divisors, whose sum is σ = 101965473792. Its totient is φ = 4702924800.

The previous prime is 23056442611. The next prime is 23056442657. The reversal of 23056442640 is 4624465032.

23056442640 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 6 + 4 + 4 + 2 + 640 = 666.

It is a super-2 number, since 2×23056442640² (a number of 22 digits) contains 22 as substring.

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 = 23056442595 and 23056442604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109272135 + ... + 109272345.

Almost surely, 2^23056442640 is an apocalyptic number.

23056442640 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 23056442640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50982736896).

23056442640 is an abundant number, since it is smaller than the sum of its proper divisors (78909031152).

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

23056442640 is a wasteful number, since it uses less digits than its factorization.

23056442640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 23056442640 in words is "twenty-three billion, fifty-six million, four hundred forty-two thousand, six hundred forty".