82696432896 has 900 divisors, whose sum is σ = 315896062944. Its totient is φ = 21337344000.

The previous prime is 82696432891. The next prime is 82696432921. The reversal of 82696432896 is 69823469628.

82696432896 is a `hidden beast` number, since 8 + 26 + 96 + 432 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82696432891) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 547658421 + ... + 547658571.

Almost surely, 2^82696432896 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 82696432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157948031472).

82696432896 is an abundant number, since it is smaller than the sum of its proper divisors (233199630048).

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

82696432896 is an equidigital number, since it uses as much as digits as its factorization.

82696432896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 174 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 82696432896 in words is "eighty-two billion, six hundred ninety-six million, four hundred thirty-two thousand, eight hundred ninety-six".