22624023647680 has 672 divisors, whose sum is σ = 72015997354560. Its totient is φ = 6690276311040.

The previous prime is 22624023647677. The next prime is 22624023647689. The reversal of 22624023647680 is 8674632042622.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22624023647689) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282686070 + ... + 282766090.

It is an arithmetic number, because the mean of its divisors is an integer number (107166662730).

Almost surely, 2^{22624023647680} is an apocalyptic number.

22624023647680 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 22624023647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36007998677280).

22624023647680 is an abundant number, since it is smaller than the sum of its proper divisors (49391973706880).

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

22624023647680 is a wasteful number, since it uses less digits than its factorization.

22624023647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80157 (or 80140 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 52.

The spelling of 22624023647680 in words is "twenty-two trillion, six hundred twenty-four billion, twenty-three million, six hundred forty-seven thousand, six hundred eighty".