6985888000 has 288 divisors, whose sum is σ = 21427660800. Its totient is φ = 2209996800.

The previous prime is 6985887991. The next prime is 6985888001. The reversal of 6985888000 is 8885896.

It is a super-2 number, since 2×6985888000² = 97605262297088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (6985888001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2910801 + ... + 2913199.

It is an arithmetic number, because the mean of its divisors is an integer number (74401600).

Almost surely, 2^6985888000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6985888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713830400).

6985888000 is an abundant number, since it is smaller than the sum of its proper divisors (14441772800).

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

6985888000 is a wasteful number, since it uses less digits than its factorization.

6985888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 52.

The square root of 6985888000 is about 83581.6247748272. The cubic root of 6985888000 is about 1911.6448281996.

The spelling of 6985888000 in words is "six billion, nine hundred eighty-five million, eight hundred eighty-eight thousand".