6994993824 has 432 divisors, whose sum is σ = 25179336000. Its totient is φ = 1840430592.

The previous prime is 6994993823. The next prime is 6994993829. The reversal of 6994993824 is 4283994996.

It is a happy number.

6994993824 is a `hidden beast` number, since 6 + 99 + 499 + 38 + 24 = 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 not an unprimeable number, because it can be changed into a prime (6994993823) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16694287 + ... + 16694705.

It is an arithmetic number, because the mean of its divisors is an integer number (58285500).

Almost surely, 2^6994993824 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 6994993824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12589668000).

6994993824 is an abundant number, since it is smaller than the sum of its proper divisors (18184342176).

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

6994993824 is a wasteful number, since it uses less digits than its factorization.

6994993824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 444 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The square root of 6994993824 is about 83636.0796785693. The cubic root of 6994993824 is about 1912.4750516289.

The spelling of 6994993824 in words is "six billion, nine hundred ninety-four million, nine hundred ninety-three thousand, eight hundred twenty-four".