6382005000 has 480 divisors, whose sum is σ = 24466543200. Its totient is φ = 1378944000.

The previous prime is 6382004987. The next prime is 6382005011. The reversal of 6382005000 is 5002836.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13964772 + ... + 13965228.

It is an arithmetic number, because the mean of its divisors is an integer number (50971965).

Almost surely, 2^6382005000 is an apocalyptic number.

6382005000 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 6382005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12233271600).

6382005000 is an abundant number, since it is smaller than the sum of its proper divisors (18084538200).

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

6382005000 is a wasteful number, since it uses less digits than its factorization.

6382005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6382005000 is about 79887.4520810371. The cubic root of 6382005000 is about 1854.8937876768.

Adding to 6382005000 its reverse (5002836), we get a palindrome (6387007836).

The spelling of 6382005000 in words is "six billion, three hundred eighty-two million, five thousand".