6998480160 has 384 divisors, whose sum is σ = 25818186240. Its totient is φ = 1560674304.

The previous prime is 6998480149. The next prime is 6998480191. The reversal of 6998480160 is 610848996.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 35525182 + ... + 35525378.

It is an arithmetic number, because the mean of its divisors is an integer number (67234860).

Almost surely, 2^6998480160 is an apocalyptic number.

6998480160 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 6998480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12909093120).

6998480160 is an abundant number, since it is smaller than the sum of its proper divisors (18819706080).

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

6998480160 is a wasteful number, since it uses less digits than its factorization.

6998480160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 6998480160 is about 83656.9193790926. The cubic root of 6998480160 is about 1912.7927275453.

The spelling of 6998480160 in words is "six billion, nine hundred ninety-eight million, four hundred eighty thousand, one hundred sixty".