6991017984 has 480 divisors, whose sum is σ = 23046463440. Its totient is φ = 2102132736.

The previous prime is 6991017941. The next prime is 6991018007. The reversal of 6991017984 is 4897101996.

It is a super-2 number, since 2×6991017984² = 97748664905222848512, which contains 22 as substring.

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 6991017984.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 104343519 + ... + 104343585.

Almost surely, 2^6991017984 is an apocalyptic number.

6991017984 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 6991017984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11523231720).

6991017984 is an abundant number, since it is smaller than the sum of its proper divisors (16055445456).

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

6991017984 is a wasteful number, since it uses less digits than its factorization.

6991017984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The square root of 6991017984 is about 83612.3076107818. The cubic root of 6991017984 is about 1912.1126431188.

The spelling of 6991017984 in words is "six billion, nine hundred ninety-one million, seventeen thousand, nine hundred eighty-four".