6381365760 has 960 divisors, whose sum is σ = 28735660800. Its totient is φ = 1313832960.

The previous prime is 6381365759. The next prime is 6381365773. The reversal of 6381365760 is 675631836.

6381365760 is a `hidden beast` number, since 63 + 8 + 13 + 6 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 58544586 + ... + 58544694.

It is an arithmetic number, because the mean of its divisors is an integer number (29932980).

Almost surely, 2^6381365760 is an apocalyptic number.

6381365760 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 6381365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367830400).

6381365760 is an abundant number, since it is smaller than the sum of its proper divisors (22354295040).

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

6381365760 is a wasteful number, since it uses less digits than its factorization.

6381365760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6381365760 is about 79883.4511022152. The cubic root of 6381365760 is about 1854.8318551078.

The spelling of 6381365760 in words is "six billion, three hundred eighty-one million, three hundred sixty-five thousand, seven hundred sixty".