6990824448 has 176 divisors, whose sum is σ = 21419808000. Its totient is φ = 2249662464.

The previous prime is 6990824443. The next prime is 6990824461. The reversal of 6990824448 is 8444280996.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6990824394 and 6990824403.

It is not an unprimeable number, because it can be changed into a prime (6990824443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797433 + ... + 806151.

Almost surely, 2^6990824448 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 6990824448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10709904000).

6990824448 is an abundant number, since it is smaller than the sum of its proper divisors (14428983552).

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

6990824448 is a wasteful number, since it uses less digits than its factorization.

6990824448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8777 (or 8753 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 6990824448 is about 83611.1502611942. The cubic root of 6990824448 is about 1912.0949982852.

The spelling of 6990824448 in words is "six billion, nine hundred ninety million, eight hundred twenty-four thousand, four hundred forty-eight".