82671708672 has 720 divisors, whose sum is σ = 296462453760. Its totient is φ = 22678548480.

The previous prime is 82671708643. The next prime is 82671708683. The reversal of 82671708672 is 27680717628.

It is a happy number.

It is a super-2 number, since 2×82671708672² (a number of 23 digits) contains 22 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 650958273 + ... + 650958399.

It is an arithmetic number, because the mean of its divisors is an integer number (411753408).

Almost surely, 2^82671708672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82671708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148231226880).

82671708672 is an abundant number, since it is smaller than the sum of its proper divisors (213790745088).

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

82671708672 is a wasteful number, since it uses less digits than its factorization.

82671708672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 82671708672 in words is "eighty-two billion, six hundred seventy-one million, seven hundred eight thousand, six hundred seventy-two".