6261259200 has 336 divisors, whose sum is σ = 23962156800. Its totient is φ = 1430768640.

The previous prime is 6261259189. The next prime is 6261259201. The reversal of 6261259200 is 29521626.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6261259201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1644499 + ... + 1648301.

Almost surely, 2^6261259200 is an apocalyptic number.

6261259200 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 6261259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11981078400).

6261259200 is an abundant number, since it is smaller than the sum of its proper divisors (17700897600).

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

6261259200 is a wasteful number, since it uses less digits than its factorization.

6261259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 6261259200 is about 79128.1188958767. The cubic root of 6261259200 is about 1843.1211990388.

The spelling of 6261259200 in words is "six billion, two hundred sixty-one million, two hundred fifty-nine thousand, two hundred".