82273618183680 has 9600 divisors, whose sum is σ = 434527526315520. Its totient is φ = 14607911485440.

The previous prime is 82273618183651. The next prime is 82273618183681. The reversal of 82273618183680 is 8638181637228.

82273618183680 is a `hidden beast` number, since 8 + 2 + 2 + 7 + 3 + 618 + 1 + 8 + 3 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82273618183681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1552332418534 + ... + 1552332418586.

Almost surely, 2^{82273618183680} is an apocalyptic number.

82273618183680 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 82273618183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217263763157760).

82273618183680 is an abundant number, since it is smaller than the sum of its proper divisors (352253908131840).

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

82273618183680 is a wasteful number, since it uses less digits than its factorization.

82273618183680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 82273618183680 in words is "eighty-two trillion, two hundred seventy-three billion, six hundred eighteen million, one hundred eighty-three thousand, six hundred eighty".