6386973120 has 784 divisors, whose sum is σ = 26385194880. Its totient is φ = 1455667200.

The previous prime is 6386973113. The next prime is 6386973149. The reversal of 6386973120 is 213796836.

6386973120 is a `hidden beast` number, since 638 + 6 + 9 + 7 + 3 + 1 + 2 + 0 = 666.

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

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48755455 + ... + 48755585.

Almost surely, 2^6386973120 is an apocalyptic number.

6386973120 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 6386973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13192597440).

6386973120 is an abundant number, since it is smaller than the sum of its proper divisors (19998221760).

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

6386973120 is a wasteful number, since it uses less digits than its factorization.

6386973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6386973120 is about 79918.5405272143. The cubic root of 6386973120 is about 1855.3749815289.

The spelling of 6386973120 in words is "six billion, three hundred eighty-six million, nine hundred seventy-three thousand, one hundred twenty".