82064831764608 has 2304 divisors, whose sum is σ = 322543826841600. Its totient is φ = 20516248166400.

The previous prime is 82064831764579. The next prime is 82064831764621. The reversal of 82064831764608 is 80646713846028.

82064831764608 is a `hidden beast` number, since 8 + 2 + 0 + 6 + 4 + 8 + 3 + 17 + 6 + 4 + 608 = 666.

It is a super-2 number, since 2×82064831764608² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 139803801691 + ... + 139803802277.

It is an arithmetic number, because the mean of its divisors is an integer number (139992980400).

Almost surely, 2^{82064831764608} is an apocalyptic number.

82064831764608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82064831764608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161271913420800).

82064831764608 is an abundant number, since it is smaller than the sum of its proper divisors (240478995076992).

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

82064831764608 is a wasteful number, since it uses less digits than its factorization.

82064831764608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 82064831764608 in words is "eighty-two trillion, sixty-four billion, eight hundred thirty-one million, seven hundred sixty-four thousand, six hundred eight".