22770462199680 has 1344 divisors, whose sum is σ = 88753326765120. Its totient is φ = 5581222133760.

The previous prime is 22770462199649. The next prime is 22770462199711. The reversal of 22770462199680 is 8699126407722.

22770462199680 is a `hidden beast` number, since 2 + 2 + 7 + 7 + 0 + 462 + 1 + 9 + 96 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (22770462199649) and next prime (22770462199711).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 24995018425 + ... + 24995019335.

Almost surely, 2^{22770462199680} is an apocalyptic number.

22770462199680 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 22770462199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44376663382560).

22770462199680 is an abundant number, since it is smaller than the sum of its proper divisors (65982864565440).

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

22770462199680 is an equidigital number, since it uses as much as digits as its factorization.

22770462199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 22770462199680 in words is "twenty-two trillion, seven hundred seventy billion, four hundred sixty-two million, one hundred ninety-nine thousand, six hundred eighty".