6265728000 has 1056 divisors, whose sum is σ = 27666924480. Its totient is φ = 1393459200.

The previous prime is 6265727989. The next prime is 6265728041. The reversal of 6265728000 is 8275626.

6265728000 is a `hidden beast` number, since 6 + 2 + 6 + 572 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169343982 + ... + 169344018.

Almost surely, 2^6265728000 is an apocalyptic number.

6265728000 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 6265728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13833462240).

6265728000 is an abundant number, since it is smaller than the sum of its proper divisors (21401196480).

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

6265728000 is a wasteful number, since it uses less digits than its factorization.

6265728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6265728000 is about 79156.3516086991. The cubic root of 6265728000 is about 1843.5595869622.

The spelling of 6265728000 in words is "six billion, two hundred sixty-five million, seven hundred twenty-eight thousand".