6848002940688 has 320 divisors, whose sum is σ = 24782438822400. Its totient is φ = 1762015887360.

The previous prime is 6848002940651. The next prime is 6848002940747. The reversal of 6848002940688 is 8860492008486.

6848002940688 is a `hidden beast` number, since 6 + 8 + 480 + 0 + 2 + 94 + 0 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 512553 + ... + 3736136.

It is an arithmetic number, because the mean of its divisors is an integer number (77445121320).

Almost surely, 2^{6848002940688} 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 6848002940688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12391219411200).

6848002940688 is an abundant number, since it is smaller than the sum of its proper divisors (17934435881712).

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

6848002940688 is a wasteful number, since it uses less digits than its factorization.

6848002940688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248767 (or 4248755 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 6848002940688 in words is "six trillion, eight hundred forty-eight billion, two million, nine hundred forty thousand, six hundred eighty-eight".