7563072010816 has 63 divisors (see below), whose sum is σ = 17458607511849. Its totient is φ = 3241250573568.

The previous prime is 7563072010789. The next prime is 7563072010817. The reversal of 7563072010816 is 6180102703657.

The square root of 7563072010816 is 2750104.

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., 1173096945216 + 6389975065600 = 1083096^2 + 2527840^2 .

It is not an unprimeable number, because it can be changed into a prime (7563072010817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 153981270 + ... + 154030378.

Almost surely, 2^{7563072010816} is an apocalyptic number.

7563072010816 is the 2750104-th square number.

It is an amenable number.

7563072010816 is an abundant number, since it is smaller than the sum of its proper divisors (9895535501033).

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

7563072010816 is an frugal number, since it uses more digits than its factorization.

7563072010816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98244 (or 49118 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 7563072010816 in words is "seven trillion, five hundred sixty-three billion, seventy-two million, ten thousand, eight hundred sixteen".