82704042720460 has 144 divisors (see below), whose sum is σ = 205473200325120. Its totient is φ = 27873068630400.

The previous prime is 82704042720443. The next prime is 82704042720589. The reversal of 82704042720460 is 6402724040728.

It is a super-2 number, since 2×82704042720460² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82704042720460.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962717869 + ... + 962803771.

It is an arithmetic number, because the mean of its divisors is an integer number (1426897224480).

Almost surely, 2^{82704042720460} 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 82704042720460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102736600162560).

82704042720460 is an abundant number, since it is smaller than the sum of its proper divisors (122769157604660).

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

82704042720460 is a wasteful number, since it uses less digits than its factorization.

82704042720460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102636 (or 102627 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 46.

The spelling of 82704042720460 in words is "eighty-two trillion, seven hundred four billion, forty-two million, seven hundred twenty thousand, four hundred sixty".