82672047360 has 540 divisors, whose sum is σ = 344133291348. Its totient is φ = 18895306752.

The previous prime is 82672047317. The next prime is 82672047371. The reversal of 82672047360 is 6374027628.

82672047360 is a `hidden beast` number, since 8 + 267 + 20 + 4 + 7 + 360 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59504772096 + 23167275264 = 243936^2 + 152208^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5072184 + ... + 5088456.

Almost surely, 2^82672047360 is an apocalyptic number.

82672047360 is a gapful number since it is divisible by the number (80) 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 82672047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172066645674).

82672047360 is an abundant number, since it is smaller than the sum of its proper divisors (261461243988).

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

82672047360 is a wasteful number, since it uses less digits than its factorization.

82672047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16320 (or 16290 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 82672047360 in words is "eighty-two billion, six hundred seventy-two million, forty-seven thousand, three hundred sixty".