6814062944 has 192 divisors, whose sum is σ = 15817830336. Its totient is φ = 2861236224.

The previous prime is 6814062883. The next prime is 6814062949. The reversal of 6814062944 is 4492604186.

It is a junction number, because it is equal to n+sod(n) for n = 6814062895 and 6814062904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6814062949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34589054 + ... + 34589250.

It is an arithmetic number, because the mean of its divisors is an integer number (82384533).

Almost surely, 2^6814062944 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 6814062944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7908915168).

6814062944 is an abundant number, since it is smaller than the sum of its proper divisors (9003767392).

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

6814062944 is a wasteful number, since it uses less digits than its factorization.

6814062944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 6814062944 is about 82547.3375948613. The cubic root of 6814062944 is about 1895.8415927524.

The spelling of 6814062944 in words is "six billion, eight hundred fourteen million, sixty-two thousand, nine hundred forty-four".