6987271200 has 864 divisors, whose sum is σ = 29644102656. Its totient is φ = 1396961280.

The previous prime is 6987271199. The next prime is 6987271211. The reversal of 6987271200 is 21727896.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65301547 + ... + 65301653.

It is an arithmetic number, because the mean of its divisors is an integer number (34310304).

Almost surely, 2^6987271200 is an apocalyptic number.

6987271200 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 6987271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14822051328).

6987271200 is an abundant number, since it is smaller than the sum of its proper divisors (22656831456).

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

6987271200 is a wasteful number, since it uses less digits than its factorization.

6987271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 6987271200 is about 83589.8989112919. The cubic root of 6987271200 is about 1911.7709879009.

The spelling of 6987271200 in words is "six billion, nine hundred eighty-seven million, two hundred seventy-one thousand, two hundred".