6265728000000 has 2352 divisors, whose sum is σ = 27722752956720. Its totient is φ = 1393459200000.

The previous prime is 6265727999989. The next prime is 6265728000001. The reversal of 6265728000000 is 8275626.

6265728000000 is a `hidden beast` number, since 6 + 2 + 6 + 572 + 80 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6265728000001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 169343999982 + ... + 169344000018.

Almost surely, 2^{6265728000000} is an apocalyptic number.

6265728000000 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 6265728000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13861376478360).

6265728000000 is an abundant number, since it is smaller than the sum of its proper divisors (21457024956720).

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

6265728000000 is an frugal number, since it uses more digits than its factorization.

6265728000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 54 counting only the distinct ones).

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

The spelling of 6265728000000 in words is "six trillion, two hundred sixty-five billion, seven hundred twenty-eight million", and thus it is an aban number.