6385008000 has 512 divisors, whose sum is σ = 25011118080. Its totient is φ = 1410048000.

The previous prime is 6385007987. The next prime is 6385008013. The reversal of 6385008000 is 8005836.

It is an interprime number because it is at equal distance from previous prime (6385007987) and next prime (6385008013).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10415694 + ... + 10416306.

It is an arithmetic number, because the mean of its divisors is an integer number (48849840).

Almost surely, 2^6385008000 is an apocalyptic number.

6385008000 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 6385008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12505559040).

6385008000 is an abundant number, since it is smaller than the sum of its proper divisors (18626110080).

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

6385008000 is a wasteful number, since it uses less digits than its factorization.

6385008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 6385008000 is about 79906.2450625732. The cubic root of 6385008000 is about 1855.1846770653.

The spelling of 6385008000 in words is "six billion, three hundred eighty-five million, eight thousand".