76401427617 has 6 divisors (see below), whose sum is σ = 110357617682. Its totient is φ = 50934285072.

The previous prime is 76401427603. The next prime is 76401427621. The reversal of 76401427617 is 71672410467.

76401427617 is a `hidden beast` number, since 7 + 6 + 4 + 0 + 1 + 4 + 27 + 617 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42436412001 + 33965015616 = 206001^2 + 184296^2 .

It is not a de Polignac number, because 76401427617 - 2⁴ = 76401427601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76401427657) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4244523748 + ... + 4244523765.

Almost surely, 2^76401427617 is an apocalyptic number.

It is an amenable number.

76401427617 is a deficient number, since it is larger than the sum of its proper divisors (33956190065).

76401427617 is a wasteful number, since it uses less digits than its factorization.

76401427617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8489047519 (or 8489047516 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 76401427617 in words is "seventy-six billion, four hundred one million, four hundred twenty-seven thousand, six hundred seventeen".