6378341760 has 864 divisors, whose sum is σ = 27463475520. Its totient is φ = 1410877440.

The previous prime is 6378341759. The next prime is 6378341771. The reversal of 6378341760 is 671438736.

6378341760 is a `hidden beast` number, since 637 + 8 + 3 + 4 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 205752945 + ... + 205752975.

It is an arithmetic number, because the mean of its divisors is an integer number (31786430).

Almost surely, 2^6378341760 is an apocalyptic number.

6378341760 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 6378341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13731737760).

6378341760 is an abundant number, since it is smaller than the sum of its proper divisors (21085133760).

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

6378341760 is an frugal number, since it uses more digits than its factorization.

6378341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6378341760 is about 79864.5212844853. The cubic root of 6378341760 is about 1854.5388197309.

The spelling of 6378341760 in words is "six billion, three hundred seventy-eight million, three hundred forty-one thousand, seven hundred sixty".