6819047424 has 384 divisors, whose sum is σ = 23482368000. Its totient is φ = 1915011072.

The previous prime is 6819047413. The next prime is 6819047441. The reversal of 6819047424 is 4247409186.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6819047424² = 92998815541522071552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6819047424.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30578577 + ... + 30578799.

It is an arithmetic number, because the mean of its divisors is an integer number (61152000).

Almost surely, 2^6819047424 is an apocalyptic number.

6819047424 is a gapful number since it is divisible by the number (64) 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 6819047424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741184000).

6819047424 is an abundant number, since it is smaller than the sum of its proper divisors (16663320576).

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

6819047424 is a wasteful number, since it uses less digits than its factorization.

6819047424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6819047424 is about 82577.5237216520. The cubic root of 6819047424 is about 1896.3037488037.

The spelling of 6819047424 in words is "six billion, eight hundred nineteen million, forty-seven thousand, four hundred twenty-four".