6317517077664 has 144 divisors (see below), whose sum is σ = 17960746501152. Its totient is φ = 1943474217984.

The previous prime is 6317517077657. The next prime is 6317517077681. The reversal of 6317517077664 is 4667707157136.

It is a happy number.

It is a super-2 number, since 2×6317517077664² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6317517077598 and 6317517077607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90219114 + ... + 90289110.

It is an arithmetic number, because the mean of its divisors is an integer number (124727406258).

Almost surely, 2^{6317517077664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6317517077664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8980373250576).

6317517077664 is an abundant number, since it is smaller than the sum of its proper divisors (11643229423488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6317517077664 is a wasteful number, since it uses less digits than its factorization.

6317517077664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75599 (or 75578 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 60.

The spelling of 6317517077664 in words is "six trillion, three hundred seventeen billion, five hundred seventeen million, seventy-seven thousand, six hundred sixty-four".