6035003340800 has 1152 divisors, whose sum is σ = 18760919224320. Its totient is φ = 1880240947200.

The previous prime is 6035003340787. The next prime is 6035003340889. The reversal of 6035003340800 is 80433005306.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14334924590 + ... + 14334925010.

It is an arithmetic number, because the mean of its divisors is an integer number (16285520160).

Almost surely, 2^{6035003340800} 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 6035003340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9380459612160).

6035003340800 is an abundant number, since it is smaller than the sum of its proper divisors (12725915883520).

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

6035003340800 is a wasteful number, since it uses less digits than its factorization.

6035003340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 6035003340800 in words is "six trillion, thirty-five billion, three million, three hundred forty thousand, eight hundred".