6377728607280 has 320 divisors, whose sum is σ = 23289252249600. Its totient is φ = 1601381975040.

The previous prime is 6377728607273. The next prime is 6377728607303. The reversal of 6377728607280 is 827068277736.

6377728607280 is a `hidden beast` number, since 6 + 3 + 7 + 77 + 286 + 0 + 7 + 280 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1190401 + ... + 3764639.

It is an arithmetic number, because the mean of its divisors is an integer number (72778913280).

Almost surely, 2^{6377728607280} is an apocalyptic number.

6377728607280 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 6377728607280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11644626124800).

6377728607280 is an abundant number, since it is smaller than the sum of its proper divisors (16911523642320).

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

6377728607280 is a wasteful number, since it uses less digits than its factorization.

6377728607280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574329 (or 2574317 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 6377728607280 in words is "six trillion, three hundred seventy-seven billion, seven hundred twenty-eight million, six hundred seven thousand, two hundred eighty".