6380281440 has 384 divisors, whose sum is σ = 24304250880. Its totient is φ = 1553872896.

The previous prime is 6380281423. The next prime is 6380281459. The reversal of 6380281440 is 441820836.

6380281440 is a `hidden beast` number, since 63 + 80 + 2 + 81 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6380281395 and 6380281404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5783929 + ... + 5785031.

It is an arithmetic number, because the mean of its divisors is an integer number (63292320).

Almost surely, 2^6380281440 is an apocalyptic number.

6380281440 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 6380281440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12152125440).

6380281440 is an abundant number, since it is smaller than the sum of its proper divisors (17923969440).

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

6380281440 is a wasteful number, since it uses less digits than its factorization.

6380281440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6380281440 is about 79876.6639263308. The cubic root of 6380281440 is about 1854.7267916423.

The spelling of 6380281440 in words is "six billion, three hundred eighty million, two hundred eighty-one thousand, four hundred forty".