6245249472 has 672 divisors, whose sum is σ = 24517624320. Its totient is φ = 1520640000.

The previous prime is 6245249443. The next prime is 6245249477. The reversal of 6245249472 is 2749425426.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6245249477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24881347 + ... + 24881597.

It is an arithmetic number, because the mean of its divisors is an integer number (36484560).

Almost surely, 2^6245249472 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 6245249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12258812160).

6245249472 is an abundant number, since it is smaller than the sum of its proper divisors (18272374848).

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

6245249472 is a wasteful number, since it uses less digits than its factorization.

6245249472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 291 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 6245249472 is about 79026.8908157217. The cubic root of 6245249472 is about 1841.5489351665.

The spelling of 6245249472 in words is "six billion, two hundred forty-five million, two hundred forty-nine thousand, four hundred seventy-two".