71620402617 has 12 divisors (see below), whose sum is σ = 103987714324. Its totient is φ = 47499540480.

The previous prime is 71620402613. The next prime is 71620402643.

71620402617 is a `hidden beast` number, since 7 + 1 + 620 + 4 + 0 + 26 + 1 + 7 = 666.

71620402617 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 35384995881 + 36235406736 = 188109^2 + 190356^2 .

It is not a de Polignac number, because 71620402617 - 2² = 71620402613 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71620402613) 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 11 ways as a sum of consecutive naturals, for example, 20614384 + ... + 20617857.

Almost surely, 2^71620402617 is an apocalyptic number.

It is an amenable number.

71620402617 is a deficient number, since it is larger than the sum of its proper divisors (32367311707).

71620402617 is a wasteful number, since it uses less digits than its factorization.

71620402617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41232440 (or 41232437 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 71620402617 in words is "seventy-one billion, six hundred twenty million, four hundred two thousand, six hundred seventeen".