6948441360 has 640 divisors, whose sum is σ = 29302886400. Its totient is φ = 1482167808.

The previous prime is 6948441343. The next prime is 6948441377. The reversal of 6948441360 is 631448496.

It is an interprime number because it is at equal distance from previous prime (6948441343) and next prime (6948441377).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 103708047 + ... + 103708113.

It is an arithmetic number, because the mean of its divisors is an integer number (45785760).

Almost surely, 2^6948441360 is an apocalyptic number.

6948441360 is a gapful number since it is divisible by the number (60) 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 6948441360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651443200).

6948441360 is an abundant number, since it is smaller than the sum of its proper divisors (22354445040).

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

6948441360 is a wasteful number, since it uses less digits than its factorization.

6948441360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6948441360 is about 83357.3113769872. The cubic root of 6948441360 is about 1908.2230268149.

The spelling of 6948441360 in words is "six billion, nine hundred forty-eight million, four hundred forty-one thousand, three hundred sixty".