6255536000 has 384 divisors, whose sum is σ = 18502473600. Its totient is φ = 2096640000.

The previous prime is 6255535997. The next prime is 6255536029. The reversal of 6255536000 is 6355526.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 61935950 + ... + 61936050.

It is an arithmetic number, because the mean of its divisors is an integer number (48183525).

Almost surely, 2^6255536000 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 6255536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9251236800).

6255536000 is an abundant number, since it is smaller than the sum of its proper divisors (12246937600).

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

6255536000 is a wasteful number, since it uses less digits than its factorization.

6255536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 6255536000 is about 79091.9464926740. The cubic root of 6255536000 is about 1842.5594501123.

The spelling of 6255536000 in words is "six billion, two hundred fifty-five million, five hundred thirty-six thousand".