6824064640 has 64 divisors (see below), whose sum is σ = 16331880960. Its totient is φ = 2726597632.

The previous prime is 6824064629. The next prime is 6824064647. The reversal of 6824064640 is 464604286.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 6824064593 and 6824064602.

It is not an unprimeable number, because it can be changed into a prime (6824064647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623697 + ... + 634543.

It is an arithmetic number, because the mean of its divisors is an integer number (255185640).

Almost surely, 2^6824064640 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 6824064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8165940480).

6824064640 is an abundant number, since it is smaller than the sum of its proper divisors (9507816320).

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

6824064640 is a wasteful number, since it uses less digits than its factorization.

6824064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11849 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 6824064640 is about 82607.8969590680. The cubic root of 6824064640 is about 1896.7687127238.

The spelling of 6824064640 in words is "six billion, eight hundred twenty-four million, sixty-four thousand, six hundred forty".