6987676800 has 576 divisors, whose sum is σ = 25691882400. Its totient is φ = 1667727360.

The previous prime is 6987676789. The next prime is 6987676807. The reversal of 6987676800 is 86767896.

It is a super-2 number, since 2×6987676800² = 97655254122516480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6987676807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95721564 + ... + 95721636.

Almost surely, 2^6987676800 is an apocalyptic number.

6987676800 is a gapful number since it is divisible by the number (60) 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 6987676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12845941200).

6987676800 is an abundant number, since it is smaller than the sum of its proper divisors (18704205600).

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

6987676800 is a wasteful number, since it uses less digits than its factorization.

6987676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The square root of 6987676800 is about 83592.3250065459. The cubic root of 6987676800 is about 1911.8079789421.

The spelling of 6987676800 in words is "six billion, nine hundred eighty-seven million, six hundred seventy-six thousand, eight hundred".