82965537864 has 384 divisors, whose sum is σ = 273493584000. Its totient is φ = 22430822400.

The previous prime is 82965537857. The next prime is 82965537887. The reversal of 82965537864 is 46873556928.

It is a happy number.

82965537864 is a `hidden beast` number, since 8 + 2 + 9 + 6 + 553 + 78 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17889754 + ... + 17894390.

It is an arithmetic number, because the mean of its divisors is an integer number (712222875).

Almost surely, 2^82965537864 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 82965537864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136746792000).

82965537864 is an abundant number, since it is smaller than the sum of its proper divisors (190528046136).

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

82965537864 is a wasteful number, since it uses less digits than its factorization.

82965537864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749 (or 4742 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 82965537864 in words is "eighty-two billion, nine hundred sixty-five million, five hundred thirty-seven thousand, eight hundred sixty-four".