82366035840 has 672 divisors, whose sum is σ = 324725272200. Its totient is φ = 19953838080.

The previous prime is 82366035803. The next prime is 82366035847. The reversal of 82366035840 is 4853066328.

It is a happy number.

82366035840 is a `hidden beast` number, since 8 + 2 + 3 + 6 + 60 + 3 + 584 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82366035847) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 56453031 + ... + 56454489.

Almost surely, 2^82366035840 is an apocalyptic number.

82366035840 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 82366035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162362636100).

82366035840 is an abundant number, since it is smaller than the sum of its proper divisors (242359236360).

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

82366035840 is a wasteful number, since it uses less digits than its factorization.

82366035840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 82366035840 in words is "eighty-two billion, three hundred sixty-six million, thirty-five thousand, eight hundred forty".