7412991827761 has 81 divisors (see below), whose sum is σ = 8646701958657. Its totient is φ = 6351470236800.

The previous prime is 7412991827743. The next prime is 7412991827831. The reversal of 7412991827761 is 1677281992147.

The square root of 7412991827761 is 2722681.

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

It can be written as a sum of positive squares in 4 ways, for example, as 745751417761 + 6667240410000 = 863569^2 + 2582100^2 .

It is not a de Polignac number, because 7412991827761 - 2⁵ = 7412991827729 is a prime.

It is a Duffinian number.

Its product of digits (21337344) is a multiple of the sum of its prime divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 7412991827693 and 7412991827702.

It is not an unprimeable number, because it can be changed into a prime (7412991827711) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49092661036 + ... + 49092661186.

It is an arithmetic number, because the mean of its divisors is an integer number (106749406897).

Almost surely, 2^{7412991827761} is an apocalyptic number.

7412991827761 is the 2722681-st square number.

7412991827761 is the 1361341-st centered octagonal number.

It is an amenable number.

7412991827761 is a deficient number, since it is larger than the sum of its proper divisors (1233710130896).

7412991827761 is an equidigital number, since it uses as much as digits as its factorization.

7412991827761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 256 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 64.

Multiplying 7412991827761 by its sum of digits (64), we get a square (474431476976704 = 21781448²).

The spelling of 7412991827761 in words is "seven trillion, four hundred twelve billion, nine hundred ninety-one million, eight hundred twenty-seven thousand, seven hundred sixty-one".