21792667680 has 1152 divisors, whose sum is σ = 94981662720. Its totient is φ = 4702924800.

The previous prime is 21792667661. The next prime is 21792667681. The reversal of 21792667680 is 8676629712.

It is a super-3 number, since 3×21792667680³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21792667681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 531528460 + ... + 531528500.

It is an arithmetic number, because the mean of its divisors is an integer number (82449360).

Almost surely, 2^21792667680 is an apocalyptic number.

21792667680 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 21792667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47490831360).

21792667680 is an abundant number, since it is smaller than the sum of its proper divisors (73188995040).

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

21792667680 is an equidigital number, since it uses as much as digits as its factorization.

21792667680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 21792667680 in words is "twenty-one billion, seven hundred ninety-two million, six hundred sixty-seven thousand, six hundred eighty".