82695446784 has 324 divisors, whose sum is σ = 262440483760. Its totient is φ = 24971950080.

The previous prime is 82695446783. The next prime is 82695446809. The reversal of 82695446784 is 48764459628.

82695446784 is a `hidden beast` number, since 8 + 2 + 6 + 9 + 544 + 6 + 7 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (82695446783) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23155719 + ... + 23159289.

Almost surely, 2^82695446784 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 82695446784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131220241880).

82695446784 is an abundant number, since it is smaller than the sum of its proper divisors (179745036976).

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

82695446784 is a wasteful number, since it uses less digits than its factorization.

82695446784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3618 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

It can be divided in two parts, 82695446 and 784, that added together give a triangular number (82696230 = T₁₂₈₆₀).

The spelling of 82695446784 in words is "eighty-two billion, six hundred ninety-five million, four hundred forty-six thousand, seven hundred eighty-four".