6380010000 has 1200 divisors, whose sum is σ = 29611021440. Its totient is φ = 1244160000.

The previous prime is 6380009989. The next prime is 6380010029. The reversal of 6380010000 is 100836.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 155609980 + ... + 155610020.

Almost surely, 2^6380010000 is an apocalyptic number.

6380010000 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 6380010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805510720).

6380010000 is an abundant number, since it is smaller than the sum of its proper divisors (23231011440).

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

6380010000 is a wasteful number, since it uses less digits than its factorization.

6380010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6380010000 is about 79874.9647887246. The cubic root of 6380010000 is about 1854.7004890315.

Adding to 6380010000 its reverse (100836), we get a palindrome (6380110836).

The spelling of 6380010000 in words is "six billion, three hundred eighty million, ten thousand".