6988291200 has 1152 divisors, whose sum is σ = 30385555200. Its totient is φ = 1567641600.

The previous prime is 6988291199. The next prime is 6988291229. The reversal of 6988291200 is 21928896.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 162518379 + ... + 162518421.

It is an arithmetic number, because the mean of its divisors is an integer number (26376350).

Almost surely, 2^6988291200 is an apocalyptic number.

6988291200 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 6988291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15192777600).

6988291200 is an abundant number, since it is smaller than the sum of its proper divisors (23397264000).

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

6988291200 is a wasteful number, since it uses less digits than its factorization.

6988291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 6988291200 is about 83595.9999043016. Note that the first 4 decimals coincide. The cubic root of 6988291200 is about 1911.8640099822.

The spelling of 6988291200 in words is "six billion, nine hundred eighty-eight million, two hundred ninety-one thousand, two hundred".