6503968882944 has 729 divisors, whose sum is σ = 20957077143639. Its totient is φ = 1939034972160.

The previous prime is 6503968882861. The next prime is 6503968883017. The reversal of 6503968882944 is 4492888693056.

It is a happy number.

The square root of 6503968882944 is 2550288.

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

6503968882944 is a `hidden beast` number, since 6 + 503 + 96 + 8 + 8 + 8 + 29 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4573781049600 + 1930187833344 = 2138640^2 + 1389312^2 .

It is a super-2 number, since 2×6503968882944² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 97074162399 + ... + 97074162465.

Almost surely, 2^{6503968882944} is an apocalyptic number.

6503968882944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6503968882944 is the 2550288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6503968882944

6503968882944 is an abundant number, since it is smaller than the sum of its proper divisors (14453108260695).

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

6503968882944 is an equidigital number, since it uses as much as digits as its factorization.

6503968882944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 6503968882944 in words is "six trillion, five hundred three billion, nine hundred sixty-eight million, eight hundred eighty-two thousand, nine hundred forty-four".