6986413728 has 288 divisors, whose sum is σ = 24114283200. Its totient is φ = 1961584128.

The previous prime is 6986413727. The next prime is 6986413729. The reversal of 6986413728 is 8273146896.

It is an interprime number because it is at equal distance from previous prime (6986413727) and next prime (6986413729).

It is a tau number, because it is divible by the number of its divisors (288).

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

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 (6986413723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2496426 + ... + 2499222.

It is an arithmetic number, because the mean of its divisors is an integer number (83730150).

Almost surely, 2^6986413728 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 6986413728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12057141600).

6986413728 is an abundant number, since it is smaller than the sum of its proper divisors (17127869472).

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

6986413728 is a wasteful number, since it uses less digits than its factorization.

6986413728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2868 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 6986413728 is about 83584.7697131481. The cubic root of 6986413728 is about 1911.6927810632.

The spelling of 6986413728 in words is "six billion, nine hundred eighty-six million, four hundred thirteen thousand, seven hundred twenty-eight".