82002366432 has 288 divisors, whose sum is σ = 276536332800. Its totient is φ = 22552556544.

The previous prime is 82002366409. The next prime is 82002366469. The reversal of 82002366432 is 23466320028.

82002366432 is a `hidden beast` number, since 8 + 2 + 0 + 0 + 2 + 3 + 6 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20986623 + ... + 20990529.

It is an arithmetic number, because the mean of its divisors is an integer number (960195600).

Almost surely, 2^82002366432 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 82002366432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138268166400).

82002366432 is an abundant number, since it is smaller than the sum of its proper divisors (194533966368).

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

82002366432 is a wasteful number, since it uses less digits than its factorization.

82002366432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 82002366432 in words is "eighty-two billion, two million, three hundred sixty-six thousand, four hundred thirty-two".