803741368320 has 960 divisors, whose sum is σ = 3219209136000. Its totient is φ = 183458856960.

The previous prime is 803741368291. The next prime is 803741368321. The reversal of 803741368320 is 23863147308.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803741368321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4930928559 + ... + 4930928721.

It is an arithmetic number, because the mean of its divisors is an integer number (3353342850).

Almost surely, 2^803741368320 is an apocalyptic number.

803741368320 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 803741368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609604568000).

803741368320 is an abundant number, since it is smaller than the sum of its proper divisors (2415467767680).

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

803741368320 is a wasteful number, since it uses less digits than its factorization.

803741368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 803741368320 in words is "eight hundred three billion, seven hundred forty-one million, three hundred sixty-eight thousand, three hundred twenty".