6997828032 has 224 divisors, whose sum is σ = 22312335360. Its totient is φ = 2137881600.

The previous prime is 6997828007. The next prime is 6997828037. The reversal of 6997828032 is 2308287996.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6997828032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6997828037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3391033 + ... + 3393095.

It is an arithmetic number, because the mean of its divisors is an integer number (99608640).

Almost surely, 2^6997828032 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 6997828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11156167680).

6997828032 is an abundant number, since it is smaller than the sum of its proper divisors (15314507328).

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

6997828032 is a wasteful number, since it uses less digits than its factorization.

6997828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 6997828032 is about 83653.0216549289. The cubic root of 6997828032 is about 1912.7333134814.

The spelling of 6997828032 in words is "six billion, nine hundred ninety-seven million, eight hundred twenty-eight thousand, thirty-two".