6820535129440 has 144 divisors (see below), whose sum is σ = 16729062341040. Its totient is φ = 2627681817600.

The previous prime is 6820535129431. The next prime is 6820535129449. The reversal of 6820535129440 is 449215350286.

It is an interprime number because it is at equal distance from previous prime (6820535129431) and next prime (6820535129449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6820535129449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32338246 + ... + 32548474.

It is an arithmetic number, because the mean of its divisors is an integer number (116174044035).

Almost surely, 2^{6820535129440} 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 6820535129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8364531170520).

6820535129440 is an abundant number, since it is smaller than the sum of its proper divisors (9908527211600).

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

6820535129440 is a wasteful number, since it uses less digits than its factorization.

6820535129440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210517 (or 210478 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

The spelling of 6820535129440 in words is "six trillion, eight hundred twenty billion, five hundred thirty-five million, one hundred twenty-nine thousand, four hundred forty".