82963920384 has 160 divisors (see below), whose sum is σ = 245994017280. Its totient is φ = 27607910400.

The previous prime is 82963920383. The next prime is 82963920433. The reversal of 82963920384 is 48302936928.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 82963920384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82963920383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8718189 + ... + 8727699.

It is an arithmetic number, because the mean of its divisors is an integer number (1537462608).

Almost surely, 2^82963920384 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 82963920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122997008640).

82963920384 is an abundant number, since it is smaller than the sum of its proper divisors (163030096896).

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

82963920384 is an equidigital number, since it uses as much as digits as its factorization.

82963920384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10169 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 82963920384 in words is "eighty-two billion, nine hundred sixty-three million, nine hundred twenty thousand, three hundred eighty-four".