82673779968 has 432 divisors, whose sum is σ = 266774376960. Its totient is φ = 24451891200.

The previous prime is 82673779939. The next prime is 82673779997. The reversal of 82673779968 is 86997737628.

It is an interprime number because it is at equal distance from previous prime (82673779939) and next prime (82673779997).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 82673779896 and 82673779905.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 249769563 + ... + 249769893.

It is an arithmetic number, because the mean of its divisors is an integer number (617533280).

Almost surely, 2^82673779968 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 82673779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133387188480).

82673779968 is an abundant number, since it is smaller than the sum of its proper divisors (184100596992).

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

82673779968 is a wasteful number, since it uses less digits than its factorization.

82673779968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 649 counting only the distinct ones).

The product of its digits is 384072192, while the sum is 72.

It can be divided in two parts, 82673 and 779968, that added together give a triangular number (862641 = T₁₃₁₃).

The spelling of 82673779968 in words is "eighty-two billion, six hundred seventy-three million, seven hundred seventy-nine thousand, nine hundred sixty-eight".