82183027680 has 672 divisors, whose sum is σ = 317758394016. Its totient is φ = 19955331072.

The previous prime is 82183027673. The next prime is 82183027727. The reversal of 82183027680 is 8672038128.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 125854234 + ... + 125854886.

It is an arithmetic number, because the mean of its divisors is an integer number (472854753).

Almost surely, 2^82183027680 is an apocalyptic number.

82183027680 is a gapful number since it is divisible by the number (80) 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 82183027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158879197008).

82183027680 is an abundant number, since it is smaller than the sum of its proper divisors (235575366336).

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

82183027680 is a wasteful number, since it uses less digits than its factorization.

82183027680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 82183027680 in words is "eighty-two billion, one hundred eighty-three million, twenty-seven thousand, six hundred eighty".