6991987200 has 240 divisors, whose sum is σ = 25198896096. Its totient is φ = 1694924800.

The previous prime is 6991987169. The next prime is 6991987207. The reversal of 6991987200 is 27891996.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (6991987207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414124 + ... + 430676.

Almost surely, 2^6991987200 is an apocalyptic number.

6991987200 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 6991987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12599448048).

6991987200 is an abundant number, since it is smaller than the sum of its proper divisors (18206908896).

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

6991987200 is a wasteful number, since it uses less digits than its factorization.

6991987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16595 (or 16574 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 6991987200 is about 83618.1033030527. The cubic root of 6991987200 is about 1912.2010024267.

The spelling of 6991987200 in words is "six billion, nine hundred ninety-one million, nine hundred eighty-seven thousand, two hundred".