7584961728761 has 2 divisors, whose sum is σ = 7584961728762. Its totient is φ = 7584961728760.

The previous prime is 7584961728679. The next prime is 7584961728793. The reversal of 7584961728761 is 1678271694857.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3952716564736 + 3632245164025 = 1988144^2 + 1905845^2 .

It is a cyclic number.

It is not a de Polignac number, because 7584961728761 - 2²² = 7584957534457 is a prime.

It is not a weakly prime, because it can be changed into another prime (7584961728061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3792480864380 + 3792480864381.

It is an arithmetic number, because the mean of its divisors is an integer number (3792480864381).

Almost surely, 2^{7584961728761} is an apocalyptic number.

It is an amenable number.

7584961728761 is a deficient number, since it is larger than the sum of its proper divisors (1).

7584961728761 is an equidigital number, since it uses as much as digits as its factorization.

7584961728761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 284497920, while the sum is 71.

The spelling of 7584961728761 in words is "seven trillion, five hundred eighty-four billion, nine hundred sixty-one million, seven hundred twenty-eight thousand, seven hundred sixty-one".