6733641402240 has 256 divisors, whose sum is σ = 22209428102400. Its totient is φ = 1734170296320.

The previous prime is 6733641402239. The next prime is 6733641402269. The reversal of 6733641402240 is 422041463376.

It is a junction number, because it is equal to n+sod(n) for n = 6733641402192 and 6733641402201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6889635 + ... + 7806045.

It is an arithmetic number, because the mean of its divisors is an integer number (86755578525).

Almost surely, 2^{6733641402240} is an apocalyptic number.

6733641402240 is a gapful number since it is divisible by the number (60) 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 6733641402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11104714051200).

6733641402240 is an abundant number, since it is smaller than the sum of its proper divisors (15475786700160).

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

6733641402240 is a wasteful number, since it uses less digits than its factorization.

6733641402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916565 (or 916553 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 6733641402240 in words is "six trillion, seven hundred thirty-three billion, six hundred forty-one million, four hundred two thousand, two hundred forty".