6985802880 has 1024 divisors, whose sum is σ = 30833049600. Its totient is φ = 1478062080.

The previous prime is 6985802773. The next prime is 6985802881. The reversal of 6985802880 is 882085896.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6985802881) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 225348465 + ... + 225348495.

It is an arithmetic number, because the mean of its divisors is an integer number (30110400).

Almost surely, 2^6985802880 is an apocalyptic number.

6985802880 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 6985802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15416524800).

6985802880 is an abundant number, since it is smaller than the sum of its proper divisors (23847246720).

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

6985802880 is an equidigital number, since it uses as much as digits as its factorization.

6985802880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 6985802880 is about 83581.1155704445. The cubic root of 6985802880 is about 1911.6370639818.

The spelling of 6985802880 in words is "six billion, nine hundred eighty-five million, eight hundred two thousand, eight hundred eighty".