6380605440 has 416 divisors, whose sum is σ = 24769584000. Its totient is φ = 1545338880.

The previous prime is 6380605423. The next prime is 6380605453. The reversal of 6380605440 is 445060836.

6380605440 is a `hidden beast` number, since 6 + 3 + 8 + 0 + 605 + 4 + 40 = 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 = 6380605395 and 6380605404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6082036 + ... + 6083084.

Almost surely, 2^6380605440 is an apocalyptic number.

6380605440 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 6380605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384792000).

6380605440 is an abundant number, since it is smaller than the sum of its proper divisors (18388978560).

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

6380605440 is a wasteful number, since it uses less digits than its factorization.

6380605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6380605440 is about 79878.6920273486. The cubic root of 6380605440 is about 1854.7581863551.

The spelling of 6380605440 in words is "six billion, three hundred eighty million, six hundred five thousand, four hundred forty".