6849967824 has 480 divisors, whose sum is σ = 24542429184. Its totient is φ = 1806520320.

The previous prime is 6849967759. The next prime is 6849967843. The reversal of 6849967824 is 4287699486.

6849967824 is a `hidden beast` number, since 6 + 8 + 499 + 67 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19404832 + ... + 19405184.

Almost surely, 2^6849967824 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 6849967824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12271214592).

6849967824 is an abundant number, since it is smaller than the sum of its proper divisors (17692461360).

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

6849967824 is a wasteful number, since it uses less digits than its factorization.

6849967824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 419 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The square root of 6849967824 is about 82764.5324036812. The cubic root of 6849967824 is about 1899.1656377162.

The spelling of 6849967824 in words is "six billion, eight hundred forty-nine million, nine hundred sixty-seven thousand, eight hundred twenty-four".