82283120640 has 1152 divisors, whose sum is σ = 352628640000. Its totient is φ = 17687642112.

The previous prime is 82283120611. The next prime is 82283120653. The reversal of 82283120640 is 4602138228.

82283120640 is a `hidden beast` number, since 8 + 2 + 2 + 8 + 3 + 1 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82283120595 and 82283120604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 600606652 + ... + 600606788.

It is an arithmetic number, because the mean of its divisors is an integer number (306101250).

Almost surely, 2^82283120640 is an apocalyptic number.

82283120640 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 82283120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176314320000).

82283120640 is an abundant number, since it is smaller than the sum of its proper divisors (270345519360).

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

82283120640 is a wasteful number, since it uses less digits than its factorization.

82283120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 82283120640 its reverse (4602138228), we get a palindrome (86885258868).

The spelling of 82283120640 in words is "eighty-two billion, two hundred eighty-three million, one hundred twenty thousand, six hundred forty".