6312710624 has 96 divisors (see below), whose sum is σ = 14038811136. Its totient is φ = 2769361920.

The previous prime is 6312710609. The next prime is 6312710639. The reversal of 6312710624 is 4260172136.

It is an interprime number because it is at equal distance from previous prime (6312710609) and next prime (6312710639).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1205099 + ... + 1210325.

It is an arithmetic number, because the mean of its divisors is an integer number (146237616).

Almost surely, 2^6312710624 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 6312710624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019405568).

6312710624 is an abundant number, since it is smaller than the sum of its proper divisors (7726100512).

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

6312710624 is a wasteful number, since it uses less digits than its factorization.

6312710624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 6312710624 is about 79452.5683914623. The cubic root of 6312710624 is about 1848.1560027721.

The spelling of 6312710624 in words is "six billion, three hundred twelve million, seven hundred ten thousand, six hundred twenty-four".