82457364360 has 256 divisors, whose sum is σ = 286750886400. Its totient is φ = 18579382272.

The previous prime is 82457364323. The next prime is 82457364403. The reversal of 82457364360 is 6346375428.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27884002 + ... + 27886958.

It is an arithmetic number, because the mean of its divisors is an integer number (1120120650).

Almost surely, 2^82457364360 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 82457364360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143375443200).

82457364360 is an abundant number, since it is smaller than the sum of its proper divisors (204293522040).

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

82457364360 is a wasteful number, since it uses less digits than its factorization.

82457364360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 82457364360 in words is "eighty-two billion, four hundred fifty-seven million, three hundred sixty-four thousand, three hundred sixty".