6281972064 has 192 divisors, whose sum is σ = 18615744000. Its totient is φ = 2060812800.

The previous prime is 6281971987. The next prime is 6281972087. The reversal of 6281972064 is 4602791826.

It is a happy number.

6281972064 is a `hidden beast` number, since 628 + 19 + 7 + 2 + 0 + 6 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 23352922 + ... + 23353190.

It is an arithmetic number, because the mean of its divisors is an integer number (96957000).

Almost surely, 2^6281972064 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 6281972064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307872000).

6281972064 is an abundant number, since it is smaller than the sum of its proper divisors (12333771936).

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

6281972064 is a wasteful number, since it uses less digits than its factorization.

6281972064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6281972064 is about 79258.8926493425. The cubic root of 6281972064 is about 1845.1513710164.

The spelling of 6281972064 in words is "six billion, two hundred eighty-one million, nine hundred seventy-two thousand, sixty-four".