22802767680 has 448 divisors, whose sum is σ = 90696775680. Its totient is φ = 4715520000.

The previous prime is 22802767651. The next prime is 22802767723. The reversal of 22802767680 is 8676720822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18553306 + ... + 18554534.

It is an arithmetic number, because the mean of its divisors is an integer number (202448160).

Almost surely, 2^22802767680 is an apocalyptic number.

22802767680 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 22802767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45348387840).

22802767680 is an abundant number, since it is smaller than the sum of its proper divisors (67894008000).

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

22802767680 is a wasteful number, since it uses less digits than its factorization.

22802767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 22802767680 in words is "twenty-two billion, eight hundred two million, seven hundred sixty-seven thousand, six hundred eighty".