82064295936 has 288 divisors, whose sum is σ = 280920669120. Its totient is φ = 23445946368.

The previous prime is 82064295923. The next prime is 82064295967. The reversal of 82064295936 is 63959246028.

It is a happy number.

82064295936 is a `hidden beast` number, since 8 + 2 + 0 + 6 + 42 + 9 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×82064295936² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3471870 + ... + 3495426.

It is an arithmetic number, because the mean of its divisors is an integer number (975418990).

Almost surely, 2^82064295936 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 82064295936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140460334560).

82064295936 is an abundant number, since it is smaller than the sum of its proper divisors (198856373184).

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

82064295936 is an equidigital number, since it uses as much as digits as its factorization.

82064295936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23601 (or 23569 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 82064295936 in words is "eighty-two billion, sixty-four million, two hundred ninety-five thousand, nine hundred thirty-six".