6948015879168 has 1584 divisors, whose sum is σ = 26685476737920. Its totient is φ = 1720977850368.

The previous prime is 6948015879139. The next prime is 6948015879169. The reversal of 6948015879168 is 8619785108496.

6948015879168 is a `hidden beast` number, since 6 + 9 + 480 + 1 + 5 + 87 + 9 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6948015879096 and 6948015879105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6948015879169) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18627388230 + ... + 18627388602.

It is an arithmetic number, because the mean of its divisors is an integer number (16846891880).

Almost surely, 2^{6948015879168} 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 6948015879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13342738368960).

6948015879168 is an abundant number, since it is smaller than the sum of its proper divisors (19737460858752).

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

6948015879168 is a wasteful number, since it uses less digits than its factorization.

6948015879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 6948015879168 in words is "six trillion, nine hundred forty-eight billion, fifteen million, eight hundred seventy-nine thousand, one hundred sixty-eight".