6225801000 has 192 divisors, whose sum is σ = 20310937920. Its totient is φ = 1587625600.

The previous prime is 6225800993. The next prime is 6225801007. The reversal of 6225801000 is 1085226.

It is an interprime number because it is at equal distance from previous prime (6225800993) and next prime (6225801007).

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

It is not an unprimeable number, because it can be changed into a prime (6225801007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1585039 + ... + 1588961.

It is an arithmetic number, because the mean of its divisors is an integer number (105786135).

Almost surely, 2^6225801000 is an apocalyptic number.

6225801000 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 6225801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155468960).

6225801000 is an abundant number, since it is smaller than the sum of its proper divisors (14085136920).

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

6225801000 is a wasteful number, since it uses less digits than its factorization.

6225801000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 6225801000 is about 78903.7451582623. The cubic root of 6225801000 is about 1839.6353444031.

Adding to 6225801000 its reverse (1085226), we get a palindrome (6226886226).

The spelling of 6225801000 in words is "six billion, two hundred twenty-five million, eight hundred one thousand".