6880468377600 has 1008 divisors, whose sum is σ = 25479309891672. Its totient is φ = 1773435617280.

The previous prime is 6880468377589. The next prime is 6880468377641. The reversal of 6880468377600 is 67738640886.

6880468377600 is a `hidden beast` number, since 6 + 8 + 80 + 468 + 37 + 7 + 60 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 65110708224 + 6815357669376 = 255168^2 + 2610624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15890226984 + ... + 15890227416.

Almost surely, 2^{6880468377600} is an apocalyptic number.

6880468377600 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 6880468377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12739654945836).

6880468377600 is an abundant number, since it is smaller than the sum of its proper divisors (18598841514072).

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

6880468377600 is a wasteful number, since it uses less digits than its factorization.

6880468377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 6880468377600 in words is "six trillion, eight hundred eighty billion, four hundred sixty-eight million, three hundred seventy-seven thousand, six hundred".