6381084672 has 336 divisors, whose sum is σ = 19873496448. Its totient is φ = 1968046080.

The previous prime is 6381084641. The next prime is 6381084707. The reversal of 6381084672 is 2764801836.

6381084672 is a `hidden beast` number, since 638 + 1 + 0 + 8 + 4 + 6 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89874397 + ... + 89874467.

Almost surely, 2^6381084672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6381084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936748224).

6381084672 is an abundant number, since it is smaller than the sum of its proper divisors (13492411776).

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

6381084672 is a wasteful number, since it uses less digits than its factorization.

6381084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6381084672 is about 79881.6917196926. The cubic root of 6381084672 is about 1854.8046206750.

The spelling of 6381084672 in words is "six billion, three hundred eighty-one million, eighty-four thousand, six hundred seventy-two".