6259462272 has 504 divisors, whose sum is σ = 22352664285. Its totient is φ = 1740082176.

The previous prime is 6259462249. The next prime is 6259462273. The reversal of 6259462272 is 2722649526.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5050092096 + 1209370176 = 71064^2 + 34776^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=55944.

It is a super-3 number, since 3×6259462272³ (a number of 30 digits) contains 333 as substring.

Its product of digits (725760) is a multiple of the sum of its prime factors (120).

It is not an unprimeable number, because it can be changed into a prime (6259462273) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 169174638 + ... + 169174674.

Almost surely, 2^6259462272 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 6259462272

6259462272 is an abundant number, since it is smaller than the sum of its proper divisors (16093202013).

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

6259462272 is an frugal number, since it uses more digits than its factorization.

6259462272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 49 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 6259462272 is about 79116.7635334004. The cubic root of 6259462272 is about 1842.9448621461.

The spelling of 6259462272 in words is "six billion, two hundred fifty-nine million, four hundred sixty-two thousand, two hundred seventy-two".