802234368000 has 1632 divisors, whose sum is σ = 3334345577472. Its totient is φ = 191102976000.

The previous prime is 802234367999. The next prime is 802234368007. The reversal of 802234368000 is 863432208.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802234368007) 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 95 ways as a sum of consecutive naturals, for example, 25878527985 + ... + 25878528015.

Almost surely, 2^802234368000 is an apocalyptic number.

802234368000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802234368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667172788736).

802234368000 is an abundant number, since it is smaller than the sum of its proper divisors (2532111209472).

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

802234368000 is an frugal number, since it uses more digits than its factorization.

802234368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 802234368000 in words is "eight hundred two billion, two hundred thirty-four million, three hundred sixty-eight thousand".