6880281600 has 264 divisors, whose sum is σ = 22990724928. Its totient is φ = 1814528000.

The previous prime is 6880281589. The next prime is 6880281601. The reversal of 6880281600 is 61820886.

It is not an unprimeable number, because it can be changed into a prime (6880281601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7756357 + ... + 7757243.

Almost surely, 2^6880281600 is an apocalyptic number.

6880281600 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 6880281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11495362464).

6880281600 is an abundant number, since it is smaller than the sum of its proper divisors (16110443328).

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

6880281600 is a wasteful number, since it uses less digits than its factorization.

6880281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 6880281600 is about 82947.4628906756. The cubic root of 6880281600 is about 1901.9630311666.

The spelling of 6880281600 in words is "six billion, eight hundred eighty million, two hundred eighty-one thousand, six hundred".