6389969040 has 1280 divisors, whose sum is σ = 29998080000. Its totient is φ = 1212309504.

The previous prime is 6389969039. The next prime is 6389969041. The reversal of 6389969040 is 409699836.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6389969039) and next prime (6389969041).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6389969041) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 108304531 + ... + 108304589.

It is an arithmetic number, because the mean of its divisors is an integer number (23436000).

Almost surely, 2^6389969040 is an apocalyptic number.

6389969040 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 6389969040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040000).

6389969040 is an abundant number, since it is smaller than the sum of its proper divisors (23608110960).

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

6389969040 is a wasteful number, since it uses less digits than its factorization.

6389969040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 6389969040 is about 79937.2819152615. The cubic root of 6389969040 is about 1855.6650347369.

The spelling of 6389969040 in words is "six billion, three hundred eighty-nine million, nine hundred sixty-nine thousand, forty".