6881232000 has 384 divisors, whose sum is σ = 23934193920. Its totient is φ = 1748736000.

The previous prime is 6881231927. The next prime is 6881232041. The reversal of 6881232000 is 2321886.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25391865 + ... + 25392135.

It is an arithmetic number, because the mean of its divisors is an integer number (62328630).

Almost surely, 2^6881232000 is an apocalyptic number.

6881232000 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 6881232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11967096960).

6881232000 is an abundant number, since it is smaller than the sum of its proper divisors (17052961920).

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

6881232000 is a wasteful number, since it uses less digits than its factorization.

6881232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 6881232000 is about 82953.1916203349. The cubic root of 6881232000 is about 1902.0506023129.

Adding to 6881232000 its reverse (2321886), we get a palindrome (6883553886).

The spelling of 6881232000 in words is "six billion, eight hundred eighty-one million, two hundred thirty-two thousand".