8001642617 has 16 divisors (see below), whose sum is σ = 8258462352. Its totient is φ = 7749181440.

The previous prime is 8001642613. The next prime is 8001642631. The reversal of 8001642617 is 7162461008.

It can be written as a sum of positive squares in 8 ways, for example, as 1908903481 + 6092739136 = 43691^2 + 78056^2 .

It is a cyclic number.

It is not a de Polignac number, because 8001642617 - 2² = 8001642613 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8001642613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2162513 + ... + 2166209.

It is an arithmetic number, because the mean of its divisors is an integer number (516153897).

Almost surely, 2^8001642617 is an apocalyptic number.

It is an amenable number.

8001642617 is a deficient number, since it is larger than the sum of its proper divisors (256819735).

8001642617 is a wasteful number, since it uses less digits than its factorization.

8001642617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 8001642617 is about 89451.9011368680. The cubic root of 8001642617 is about 2000.1368753824.

The spelling of 8001642617 in words is "eight billion, one million, six hundred forty-two thousand, six hundred seventeen".