4761307466761 has 2 divisors, whose sum is σ = 4761307466762. Its totient is φ = 4761307466760.

The previous prime is 4761307466701. The next prime is 4761307466777. The reversal of 4761307466761 is 1676647031674.

4761307466761 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2523710327161 + 2237597139600 = 1588619^2 + 1495860^2 .

It is a cyclic number.

It is not a de Polignac number, because 4761307466761 - 2³¹ = 4759159983113 is a prime.

It is a super-2 number, since 2×4761307466761² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4761307466696 and 4761307466705.

It is not a weakly prime, because it can be changed into another prime (4761307466701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2380653733380 + 2380653733381.

It is an arithmetic number, because the mean of its divisors is an integer number (2380653733381).

Almost surely, 2^{4761307466761} is an apocalyptic number.

It is an amenable number.

4761307466761 is a deficient number, since it is larger than the sum of its proper divisors (1).

4761307466761 is an equidigital number, since it uses as much as digits as its factorization.

4761307466761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21337344, while the sum is 58.

The spelling of 4761307466761 in words is "four trillion, seven hundred sixty-one billion, three hundred seven million, four hundred sixty-six thousand, seven hundred sixty-one".