82708526736 has 320 divisors, whose sum is σ = 265371586560. Its totient is φ = 24448919040.

The previous prime is 82708526683. The next prime is 82708526753. The reversal of 82708526736 is 63762580728.

82708526736 is a `hidden beast` number, since 8 + 270 + 85 + 267 + 36 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122168830 + ... + 122169506.

It is an arithmetic number, because the mean of its divisors is an integer number (829286208).

Almost surely, 2^82708526736 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 82708526736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132685793280).

82708526736 is an abundant number, since it is smaller than the sum of its proper divisors (182663059824).

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

82708526736 is a wasteful number, since it uses less digits than its factorization.

82708526736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 82708526736 in words is "eighty-two billion, seven hundred eight million, five hundred twenty-six thousand, seven hundred thirty-six".