76106601002601 has 72 divisors (see below), whose sum is σ = 123771421355400. Its totient is φ = 44794091814912.

The previous prime is 76106601002591. The next prime is 76106601002629. The reversal of 76106601002601 is 10620010660167.

76106601002601 is a `hidden beast` number, since 7 + 610 + 6 + 6 + 0 + 10 + 0 + 26 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31375906016400 + 44730694986201 = 5601420^2 + 6688101^2 .

It is not a de Polignac number, because 76106601002601 - 2²³ = 76106592613993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76106601002651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 686523625 + ... + 686634473.

It is an arithmetic number, because the mean of its divisors is an integer number (1719047518825).

Almost surely, 2^{76106601002601} is an apocalyptic number.

It is an amenable number.

76106601002601 is a deficient number, since it is larger than the sum of its proper divisors (47664820352799).

76106601002601 is a wasteful number, since it uses less digits than its factorization.

76106601002601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122007 (or 121981 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 76106601002601 its reverse (10620010660167), we get a palindrome (86726611662768).

The spelling of 76106601002601 in words is "seventy-six trillion, one hundred six billion, six hundred one million, two thousand, six hundred one".