6811341598960 has 320 divisors, whose sum is σ = 17738038264320. Its totient is φ = 2420045250560.

The previous prime is 6811341598927. The next prime is 6811341598967. The reversal of 6811341598960 is 698951431186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6811341598967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1811043480 + ... + 1811047240.

It is an arithmetic number, because the mean of its divisors is an integer number (55431369576).

Almost surely, 2^{6811341598960} 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 6811341598960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869019132160).

6811341598960 is an abundant number, since it is smaller than the sum of its proper divisors (10926696665360).

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

6811341598960 is a wasteful number, since it uses less digits than its factorization.

6811341598960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 61.

The spelling of 6811341598960 in words is "six trillion, eight hundred eleven billion, three hundred forty-one million, five hundred ninety-eight thousand, nine hundred sixty".