6880304332800 has 1344 divisors, whose sum is σ = 26299867364820. Its totient is φ = 1783627776000.

The previous prime is 6880304332793. The next prime is 6880304332831. The reversal of 6880304332800 is 82334030886.

6880304332800 is a `hidden beast` number, since 6 + 8 + 8 + 0 + 304 + 332 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1308589572096 + 5571714760704 = 1143936^2 + 2360448^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 24485068660 + ... + 24485068940.

Almost surely, 2^{6880304332800} is an apocalyptic number.

6880304332800 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 6880304332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13149933682410).

6880304332800 is an abundant number, since it is smaller than the sum of its proper divisors (19419563032020).

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

6880304332800 is an frugal number, since it uses more digits than its factorization.

6880304332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 6880304332800 in words is "six trillion, eight hundred eighty billion, three hundred four million, three hundred thirty-two thousand, eight hundred".