82369779328 has 64 divisors (see below), whose sum is σ = 168841350720. Its totient is φ = 40002795520.

The previous prime is 82369779313. The next prime is 82369779337. The reversal of 82369779328 is 82397796328.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×82369779328² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 82369779328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1156725 + ... + 1225867.

It is an arithmetic number, because the mean of its divisors is an integer number (2638146105).

Almost surely, 2^82369779328 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 82369779328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84420675360).

82369779328 is an abundant number, since it is smaller than the sum of its proper divisors (86471571392).

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

82369779328 is a wasteful number, since it uses less digits than its factorization.

82369779328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69425 (or 69413 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 64.

The spelling of 82369779328 in words is "eighty-two billion, three hundred sixty-nine million, seven hundred seventy-nine thousand, three hundred twenty-eight".