82726414884 has 225 divisors, whose sum is σ = 236396108487. Its totient is φ = 25223298912.

The previous prime is 82726414877. The next prime is 82726414921. The reversal of 82726414884 is 48841462728.

The square root of 82726414884 is 287622.

It is a perfect power (a square), and thus also a powerful number.

82726414884 is a `hidden beast` number, since 82 + 72 + 6 + 414 + 8 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 196616484 + 82529798400 = 14022^2 + 287280^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 82726414884.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2852634982 + ... + 2852635010.

Almost surely, 2^82726414884 is an apocalyptic number.

82726414884 is the 287622-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82726414884

82726414884 is an abundant number, since it is smaller than the sum of its proper divisors (153669693603).

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

82726414884 is an frugal number, since it uses more digits than its factorization.

82726414884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 53 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The spelling of 82726414884 in words is "eighty-two billion, seven hundred twenty-six million, four hundred fourteen thousand, eight hundred eighty-four".