6848401234752 has 1680 divisors, whose sum is σ = 28183009155840. Its totient is φ = 1600978452480.

The previous prime is 6848401234733. The next prime is 6848401234771. The reversal of 6848401234752 is 2574321048486.

6848401234752 is a `hidden beast` number, since 6 + 8 + 4 + 8 + 40 + 123 + 475 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6848401234733) and next prime (6848401234771).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1716819574 + ... + 1716823562.

It is an arithmetic number, because the mean of its divisors is an integer number (16775600688).

Almost surely, 2^{6848401234752} 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 6848401234752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14091504577920).

6848401234752 is an abundant number, since it is smaller than the sum of its proper divisors (21334607921088).

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

6848401234752 is a wasteful number, since it uses less digits than its factorization.

6848401234752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 6848401234752 in words is "six trillion, eight hundred forty-eight billion, four hundred one million, two hundred thirty-four thousand, seven hundred fifty-two".