22830413760 has 1568 divisors, whose sum is σ = 107459702784. Its totient is φ = 4478976000.

The previous prime is 22830413717. The next prime is 22830413777. The reversal of 22830413760 is 6731403822.

It is a happy number.

22830413760 is a `hidden beast` number, since 2 + 283 + 0 + 4 + 1 + 376 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 556839340 + ... + 556839380.

Almost surely, 2^22830413760 is an apocalyptic number.

22830413760 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 22830413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53729851392).

22830413760 is an abundant number, since it is smaller than the sum of its proper divisors (84629289024).

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

22830413760 is a wasteful number, since it uses less digits than its factorization.

22830413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

It can be divided in two parts, 228304 and 13760, that added together give a square (242064 = 492²).

The spelling of 22830413760 in words is "twenty-two billion, eight hundred thirty million, four hundred thirteen thousand, seven hundred sixty".