6389388000 has 384 divisors, whose sum is σ = 23631229440. Its totient is φ = 1676505600.

The previous prime is 6389387987. The next prime is 6389388011. The reversal of 6389388000 is 8839836.

6389388000 is a `hidden beast` number, since 638 + 9 + 3 + 8 + 8 + 0 + 0 + 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 63 ways as a sum of consecutive naturals, for example, 7235559 + ... + 7236441.

It is an arithmetic number, because the mean of its divisors is an integer number (61539660).

Almost surely, 2^6389388000 is an apocalyptic number.

6389388000 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 6389388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11815614720).

6389388000 is an abundant number, since it is smaller than the sum of its proper divisors (17241841440).

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

6389388000 is a wasteful number, since it uses less digits than its factorization.

6389388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6389388000 is about 79933.6474833971. The cubic root of 6389388000 is about 1855.6087878137.

The spelling of 6389388000 in words is "six billion, three hundred eighty-nine million, three hundred eighty-eight thousand".