82318636240 has 80 divisors (see below), whose sum is σ = 205971437520. Its totient is φ = 30482472960.

The previous prime is 82318636217. The next prime is 82318636247. The reversal of 82318636240 is 4263681328.

It can be written as a sum of positive squares in 8 ways, for example, as 20872158784 + 61446477456 = 144472^2 + 247884^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82318636247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413175 + ... + 579094.

It is an arithmetic number, because the mean of its divisors is an integer number (2574642969).

Almost surely, 2^82318636240 is an apocalyptic number.

82318636240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82318636240 is an abundant number, since it is smaller than the sum of its proper divisors (123652801280).

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

82318636240 is a wasteful number, since it uses less digits than its factorization.

82318636240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992360 (or 992354 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 82318636240 in words is "eighty-two billion, three hundred eighteen million, six hundred thirty-six thousand, two hundred forty".