6258720000 has 720 divisors, whose sum is σ = 24137023680. Its totient is φ = 1425408000.

The previous prime is 6258719969. The next prime is 6258720001. The reversal of 6258720000 is 278526.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6258720000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6258720001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106079971 + ... + 106080029.

It is an arithmetic number, because the mean of its divisors is an integer number (33523644).

Almost surely, 2^6258720000 is an apocalyptic number.

6258720000 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 6258720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068511840).

6258720000 is an abundant number, since it is smaller than the sum of its proper divisors (17878303680).

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

6258720000 is a wasteful number, since it uses less digits than its factorization.

6258720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 6258720000 is about 79112.0724036477. The cubic root of 6258720000 is about 1842.8720113491.

Adding to 6258720000 its reverse (278526), we get a palindrome (6258998526).

The spelling of 6258720000 in words is "six billion, two hundred fifty-eight million, seven hundred twenty thousand".