22630869676800 has 4860 divisors, whose sum is σ = 110435335071600. Its totient is φ = 4552431206400.

The previous prime is 22630869676777. The next prime is 22630869676801. The reversal of 22630869676800 is 867696803622.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (22630869676801) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 113722963101 + ... + 113722963299.

Almost surely, 2^{22630869676800} is an apocalyptic number.

22630869676800 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 22630869676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55217667535800).

22630869676800 is an abundant number, since it is smaller than the sum of its proper divisors (87804465394800).

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

22630869676800 is a wasteful number, since it uses less digits than its factorization.

22630869676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 22630869676800 in words is "twenty-two trillion, six hundred thirty billion, eight hundred sixty-nine million, six hundred seventy-six thousand, eight hundred".