6371779680 has 576 divisors, whose sum is σ = 26806671360. Its totient is φ = 1407974400.

The previous prime is 6371779651. The next prime is 6371779697. The reversal of 6371779680 is 869771736.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6561595 + ... + 6562565.

It is an arithmetic number, because the mean of its divisors is an integer number (46539360).

Almost surely, 2^6371779680 is an apocalyptic number.

6371779680 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 6371779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13403335680).

6371779680 is an abundant number, since it is smaller than the sum of its proper divisors (20434891680).

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

6371779680 is a wasteful number, since it uses less digits than its factorization.

6371779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 6371779680 is about 79823.4281398638. The cubic root of 6371779680 is about 1853.9026142540.

The spelling of 6371779680 in words is "six billion, three hundred seventy-one million, seven hundred seventy-nine thousand, six hundred eighty".