6948558496 has 48 divisors (see below), whose sum is σ = 14949476640. Its totient is φ = 3152961280.

The previous prime is 6948558413. The next prime is 6948558553.

6948558496 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189810 + ... + 223438.

It is an arithmetic number, because the mean of its divisors is an integer number (311447430).

Almost surely, 2^6948558496 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 6948558496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7474738320).

6948558496 is an abundant number, since it is smaller than the sum of its proper divisors (8000918144).

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

6948558496 is a wasteful number, since it uses less digits than its factorization.

6948558496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34237 (or 34229 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 64.

The square root of 6948558496 is about 83358.0139878584. The cubic root of 6948558496 is about 1908.2337496204.

The spelling of 6948558496 in words is "six billion, nine hundred forty-eight million, five hundred fifty-eight thousand, four hundred ninety-six".