82416676416 has 224 divisors, whose sum is σ = 226988900352. Its totient is φ = 26377021440.

The previous prime is 82416676403. The next prime is 82416676499. The reversal of 82416676416 is 61467661428.

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, 99656995 + ... + 99657821.

Almost surely, 2^82416676416 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 82416676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113494450176).

82416676416 is an abundant number, since it is smaller than the sum of its proper divisors (144572223936).

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

82416676416 is a wasteful number, since it uses less digits than its factorization.

82416676416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1087 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The spelling of 82416676416 in words is "eighty-two billion, four hundred sixteen million, six hundred seventy-six thousand, four hundred sixteen".