82740607344 has 120 divisors (see below), whose sum is σ = 235387715472. Its totient is φ = 27127664640.

The previous prime is 82740607337. The next prime is 82740607403. The reversal of 82740607344 is 44370604728.

82740607344 is a `hidden beast` number, since 8 + 2 + 7 + 4 + 0 + 607 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82740607344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2258614 + ... + 2294954.

Almost surely, 2^82740607344 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 82740607344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117693857736).

82740607344 is an abundant number, since it is smaller than the sum of its proper divisors (152647108128).

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

82740607344 is a wasteful number, since it uses less digits than its factorization.

82740607344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36615 (or 36606 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 82740607344 in words is "eighty-two billion, seven hundred forty million, six hundred seven thousand, three hundred forty-four".