6987981312 has 480 divisors, whose sum is σ = 23164517376. Its totient is φ = 2012774400.

The previous prime is 6987981289. The next prime is 6987981323. The reversal of 6987981312 is 2131897896.

It is a super-2 number, since 2×6987981312² = 97663765633722482688, which contains 22 as substring.

Its product of digits (1306368) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98422237 + ... + 98422307.

Almost surely, 2^6987981312 is an apocalyptic number.

6987981312 is a gapful number since it is divisible by the number (62) 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 6987981312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582258688).

6987981312 is an abundant number, since it is smaller than the sum of its proper divisors (16176536064).

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

6987981312 is a wasteful number, since it uses less digits than its factorization.

6987981312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 6987981312 is about 83594.1463979387. The cubic root of 6987981312 is about 1911.8357497368.

It can be divided in two parts, 698 and 7981312, that added together give a triangular number (7982010 = T₃₉₉₅).

The spelling of 6987981312 in words is "six billion, nine hundred eighty-seven million, nine hundred eighty-one thousand, three hundred twelve".