6378946560 has 544 divisors, whose sum is σ = 26172257280. Its totient is φ = 1443889152.

The previous prime is 6378946559. The next prime is 6378946571. The reversal of 6378946560 is 656498736.

6378946560 is a `hidden beast` number, since 6 + 3 + 78 + 9 + 4 + 6 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6378946497 and 6378946506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61931469 + ... + 61931571.

Almost surely, 2^6378946560 is an apocalyptic number.

6378946560 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 6378946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086128640).

6378946560 is an abundant number, since it is smaller than the sum of its proper divisors (19793310720).

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

6378946560 is an equidigital number, since it uses as much as digits as its factorization.

6378946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 6378946560 is about 79868.3076069601. The cubic root of 6378946560 is about 1854.5974342147.

The spelling of 6378946560 in words is "six billion, three hundred seventy-eight million, nine hundred forty-six thousand, five hundred sixty".