6948320040 has 96 divisors (see below), whose sum is σ = 22610507400. Its totient is φ = 1850549760.

The previous prime is 6948319999. The next prime is 6948320063. The reversal of 6948320040 is 400238496.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6509585124 + 438734916 = 80682^2 + 20946^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6948319977 and 6948320004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283806 + ... + 307314.

Almost surely, 2^6948320040 is an apocalyptic number.

6948320040 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 6948320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11305253700).

6948320040 is an abundant number, since it is smaller than the sum of its proper divisors (15662187360).

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

6948320040 is a wasteful number, since it uses less digits than its factorization.

6948320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24347 (or 24340 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6948320040 is about 83356.5836631996. The cubic root of 6948320040 is about 1908.2119208726.

The spelling of 6948320040 in words is "six billion, nine hundred forty-eight million, three hundred twenty thousand, forty".