762661412801 has 2 divisors, whose sum is σ = 762661412802. Its totient is φ = 762661412800.

The previous prime is 762661412717. The next prime is 762661412813. The reversal of 762661412801 is 108214166267.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 740116090000 + 22545322801 = 860300^2 + 150151^2 .

It is a cyclic number.

It is not a de Polignac number, because 762661412801 - 2³⁸ = 487783505857 is a prime.

It is not a weakly prime, because it can be changed into another prime (762661412831) 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 as a sum of consecutive naturals, namely, 381330706400 + 381330706401.

It is an arithmetic number, because the mean of its divisors is an integer number (381330706401).

Almost surely, 2^762661412801 is an apocalyptic number.

It is an amenable number.

762661412801 is a deficient number, since it is larger than the sum of its proper divisors (1).

762661412801 is an equidigital number, since it uses as much as digits as its factorization.

762661412801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 762661412801 in words is "seven hundred sixty-two billion, six hundred sixty-one million, four hundred twelve thousand, eight hundred one".