82673779896 has 128 divisors (see below), whose sum is σ = 235937318400. Its totient is φ = 26807304960.

The previous prime is 82673779889. The next prime is 82673779901. The reversal of 82673779896 is 69897737628.

82673779896 is a `hidden beast` number, since 82 + 6 + 7 + 377 + 98 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3059581 + ... + 3086483.

It is an arithmetic number, because the mean of its divisors is an integer number (1843260300).

Almost surely, 2^82673779896 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 82673779896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117968659200).

82673779896 is an abundant number, since it is smaller than the sum of its proper divisors (153263538504).

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

82673779896 is a wasteful number, since it uses less digits than its factorization.

82673779896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27306 (or 27296 counting only the distinct ones).

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

The spelling of 82673779896 in words is "eighty-two billion, six hundred seventy-three million, seven hundred seventy-nine thousand, eight hundred ninety-six".