6303955949824 has 81 divisors (see below), whose sum is σ = 13626818439969. Its totient is φ = 2909277096960.

The previous prime is 6303955949813. The next prime is 6303955949833. The reversal of 6303955949824 is 4289495593036.

The square root of 6303955949824 is 2510768.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 932537862400 + 5371418087424 = 965680^2 + 2317632^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6303955949824.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 522233709 + ... + 522245779.

Almost surely, 2^{6303955949824} is an apocalyptic number.

6303955949824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6303955949824 is the 2510768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6303955949824

6303955949824 is an abundant number, since it is smaller than the sum of its proper divisors (7322862490145).

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

6303955949824 is an frugal number, since it uses more digits than its factorization.

6303955949824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24184 (or 12086 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 67.

The spelling of 6303955949824 in words is "six trillion, three hundred three billion, nine hundred fifty-five million, nine hundred forty-nine thousand, eight hundred twenty-four".