6252540800 has 192 divisors, whose sum is σ = 17584767360. Its totient is φ = 2174515200.

The previous prime is 6252540799. The next prime is 6252540817. The reversal of 6252540800 is 80452526.

It is a super-3 number, since 3×6252540800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 805739 + ... + 813461.

It is an arithmetic number, because the mean of its divisors is an integer number (91587330).

Almost surely, 2^6252540800 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 6252540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8792383680).

6252540800 is an abundant number, since it is smaller than the sum of its proper divisors (11332226560).

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

6252540800 is a wasteful number, since it uses less digits than its factorization.

6252540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7781 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 6252540800 is about 79073.0093015309. The cubic root of 6252540800 is about 1842.2653258295.

The spelling of 6252540800 in words is "six billion, two hundred fifty-two million, five hundred forty thousand, eight hundred".