6312724480 has 96 divisors (see below), whose sum is σ = 15191631000. Its totient is φ = 2517630976.

The previous prime is 6312724471. The next prime is 6312724487. The reversal of 6312724480 is 844272136.

It can be written as a sum of positive squares in 4 ways, for example, as 6282781696 + 29942784 = 79264^2 + 5472^2 .

It is not an unprimeable number, because it can be changed into a prime (6312724487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4597074 + ... + 4598446.

Almost surely, 2^6312724480 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 6312724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595815500).

6312724480 is an abundant number, since it is smaller than the sum of its proper divisors (8878906520).

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

6312724480 is a wasteful number, since it uses less digits than its factorization.

6312724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 6312724480 is about 79452.6555880922. The cubic root of 6312724480 is about 1848.1573549662.

The spelling of 6312724480 in words is "six billion, three hundred twelve million, seven hundred twenty-four thousand, four hundred eighty".