82839409974 has 96 divisors (see below), whose sum is σ = 196193743200. Its totient is φ = 25171845120.

The previous prime is 82839409967. The next prime is 82839409997. The reversal of 82839409974 is 47990493828.

82839409974 is a `hidden beast` number, since 82 + 83 + 9 + 409 + 9 + 74 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983142 + ... + 1064070.

It is an arithmetic number, because the mean of its divisors is an integer number (2043684825).

Almost surely, 2^82839409974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82839409974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98096871600).

82839409974 is an abundant number, since it is smaller than the sum of its proper divisors (113354333226).

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

82839409974 is a wasteful number, since it uses less digits than its factorization.

82839409974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81070 (or 81067 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 82839409974 in words is "eighty-two billion, eight hundred thirty-nine million, four hundred nine thousand, nine hundred seventy-four".