6880315795920 has 1200 divisors, whose sum is σ = 29205694108800. Its totient is φ = 1493935736832.

The previous prime is 6880315795907. The next prime is 6880315795931. The reversal of 6880315795920 is 295975130886.

6880315795920 is a `hidden beast` number, since 6 + 8 + 8 + 0 + 3 + 1 + 579 + 59 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1088137879 + ... + 1088144201.

It is an arithmetic number, because the mean of its divisors is an integer number (24338078424).

Almost surely, 2^{6880315795920} is an apocalyptic number.

6880315795920 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 6880315795920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14602847054400).

6880315795920 is an abundant number, since it is smaller than the sum of its proper divisors (22325378312880).

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

6880315795920 is a wasteful number, since it uses less digits than its factorization.

6880315795920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 6880315795920 in words is "six trillion, eight hundred eighty billion, three hundred fifteen million, seven hundred ninety-five thousand, nine hundred twenty".