6948027000948 has 384 divisors, whose sum is σ = 19715608313856. Its totient is φ = 1878537830400.

The previous prime is 6948027000917. The next prime is 6948027000961. The reversal of 6948027000948 is 8490007208496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3148176061 + ... + 3148178267.

It is an arithmetic number, because the mean of its divisors is an integer number (51342729984).

Almost surely, 2^{6948027000948} is an apocalyptic number.

6948027000948 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6948027000948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9857804156928).

6948027000948 is an abundant number, since it is smaller than the sum of its proper divisors (12767581312908).

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

6948027000948 is a wasteful number, since it uses less digits than its factorization.

6948027000948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 6948027000948 in words is "six trillion, nine hundred forty-eight billion, twenty-seven million, nine hundred forty-eight", and thus it is an aban number.