6950813440 has 144 divisors (see below), whose sum is σ = 17483558400. Its totient is φ = 2642579456.

The previous prime is 6950813437. The next prime is 6950813447. The reversal of 6950813440 is 443180596.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 6950813393 and 6950813402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6950813447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5269101 + ... + 5270419.

It is an arithmetic number, because the mean of its divisors is an integer number (121413600).

Almost surely, 2^6950813440 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 6950813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8741779200).

6950813440 is an abundant number, since it is smaller than the sum of its proper divisors (10532744960).

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

6950813440 is a wasteful number, since it uses less digits than its factorization.

6950813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 6950813440 is about 83371.5385488357. The cubic root of 6950813440 is about 1908.4401470991.

The spelling of 6950813440 in words is "six billion, nine hundred fifty million, eight hundred thirteen thousand, four hundred forty".