6371887680 has 168 divisors, whose sum is σ = 22728643392. Its totient is φ = 1699149312.

The previous prime is 6371887679. The next prime is 6371887693. The reversal of 6371887680 is 867881736.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36789 + ... + 118731.

It is an arithmetic number, because the mean of its divisors is an integer number (135289544).

Almost surely, 2^6371887680 is an apocalyptic number.

6371887680 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 6371887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11364321696).

6371887680 is an abundant number, since it is smaller than the sum of its proper divisors (16356755712).

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

6371887680 is an equidigital number, since it uses as much as digits as its factorization.

6371887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81975 (or 81953 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 6371887680 is about 79824.1046301178. The cubic root of 6371887680 is about 1853.9130885830.

The spelling of 6371887680 in words is "six billion, three hundred seventy-one million, eight hundred eighty-seven thousand, six hundred eighty".