6870201337824 has 384 divisors, whose sum is σ = 20952773936640. Its totient is φ = 1949184000000.

The previous prime is 6870201337823. The next prime is 6870201337841. The reversal of 6870201337824 is 4287331020786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6870201337823) 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, 1217902044 + ... + 1217907684.

It is an arithmetic number, because the mean of its divisors is an integer number (54564515460).

Almost surely, 2^{6870201337824} 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 6870201337824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10476386968320).

6870201337824 is an abundant number, since it is smaller than the sum of its proper divisors (14082572598816).

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

6870201337824 is a wasteful number, since it uses less digits than its factorization.

6870201337824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6386 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 6870201337824 in words is "six trillion, eight hundred seventy billion, two hundred one million, three hundred thirty-seven thousand, eight hundred twenty-four".