6252630400 has 96 divisors (see below), whose sum is σ = 15488740800. Its totient is φ = 2494126080.

The previous prime is 6252630389. The next prime is 6252630403. The reversal of 6252630400 is 40362526.

It is a happy number.

It is a super-3 number, since 3×6252630400³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6252630403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1242289 + ... + 1247311.

It is an arithmetic number, because the mean of its divisors is an integer number (161341050).

Almost surely, 2^6252630400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6252630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744370400).

6252630400 is an abundant number, since it is smaller than the sum of its proper divisors (9236110400).

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

6252630400 is a wasteful number, since it uses less digits than its factorization.

6252630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 6252630400 is about 79073.5758645074. The cubic root of 6252630400 is about 1842.2741257819.

Adding to 6252630400 its reverse (40362526), we get a palindrome (6292992926).

The spelling of 6252630400 in words is "six billion, two hundred fifty-two million, six hundred thirty thousand, four hundred".