82424747640 has 256 divisors, whose sum is σ = 262013875200. Its totient is φ = 20701384704.

The previous prime is 82424747611. The next prime is 82424747681. The reversal of 82424747640 is 4674742428.

It is a self number, because there is not a number n which added to its sum of digits gives 82424747640.

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 63 ways as a sum of consecutive naturals, for example, 75410934 + ... + 75412026.

It is an arithmetic number, because the mean of its divisors is an integer number (1023491700).

Almost surely, 2^82424747640 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 82424747640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131006937600).

82424747640 is an abundant number, since it is smaller than the sum of its proper divisors (179589127560).

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

82424747640 is a wasteful number, since it uses less digits than its factorization.

82424747640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 48.

The spelling of 82424747640 in words is "eighty-two billion, four hundred twenty-four million, seven hundred forty-seven thousand, six hundred forty".