68476945761 has 81 divisors (see below), whose sum is σ = 122393238201. Its totient is φ = 36777694464.

The previous prime is 68476945751. The next prime is 68476945781. The reversal of 68476945761 is 16754967486.

It is a happy number.

The square root of 68476945761 is 261681.

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

68476945761 is a `hidden beast` number, since 6 + 8 + 476 + 94 + 5 + 76 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44197073361 + 24279872400 = 210231^2 + 155820^2 .

It is not a de Polignac number, because 68476945761 - 2⁵ = 68476945729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (68476945711) 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 80 ways as a sum of consecutive naturals, for example, 93419751 + ... + 93420483.

Almost surely, 2^68476945761 is an apocalyptic number.

68476945761 is the 261681-st square number.

68476945761 is the 130841-st centered octagonal number.

It is an amenable number.

68476945761 is a deficient number, since it is larger than the sum of its proper divisors (53916292440).

68476945761 is an equidigital number, since it uses as much as digits as its factorization.

68476945761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 760 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 68476945761 in words is "sixty-eight billion, four hundred seventy-six million, nine hundred forty-five thousand, seven hundred sixty-one".