802384465536 has 1280 divisors, whose sum is σ = 2815160832000. Its totient is φ = 225143193600.

The previous prime is 802384465513. The next prime is 802384465537. The reversal of 802384465536 is 635564483208.

802384465536 is a `hidden beast` number, since 8 + 0 + 2 + 3 + 8 + 44 + 65 + 536 = 666.

802384465536 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (802384465537) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6125072191 + ... + 6125072321.

It is an arithmetic number, because the mean of its divisors is an integer number (2199344400).

Almost surely, 2^802384465536 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 802384465536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407580416000).

802384465536 is an abundant number, since it is smaller than the sum of its proper divisors (2012776366464).

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

802384465536 is a wasteful number, since it uses less digits than its factorization.

802384465536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 802384465536 in words is "eight hundred two billion, three hundred eighty-four million, four hundred sixty-five thousand, five hundred thirty-six".