6272425555200 has 2592 divisors, whose sum is σ = 28477910630400. Its totient is φ = 1343155322880.

The previous prime is 6272425555189. The next prime is 6272425555213. The reversal of 6272425555200 is 25555242726.

6272425555200 is a `hidden beast` number, since 6 + 2 + 7 + 2 + 42 + 55 + 552 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20431353447 + ... + 20431353753.

Almost surely, 2^{6272425555200} is an apocalyptic number.

6272425555200 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 6272425555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14238955315200).

6272425555200 is an abundant number, since it is smaller than the sum of its proper divisors (22205485075200).

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

6272425555200 is a wasteful number, since it uses less digits than its factorization.

6272425555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 6272425555200 in words is "six trillion, two hundred seventy-two billion, four hundred twenty-five million, five hundred fifty-five thousand, two hundred".