617662873984 has 128 divisors (see below), whose sum is σ = 1337529060000. Its totient is φ = 282423214080.

The previous prime is 617662873937. The next prime is 617662874039. The reversal of 617662873984 is 489378266716.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101402779 + ... + 101408869.

Almost surely, 2^617662873984 is an apocalyptic number.

617662873984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 617662873984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668764530000).

617662873984 is an abundant number, since it is smaller than the sum of its proper divisors (719866186016).

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

617662873984 is a wasteful number, since it uses less digits than its factorization.

617662873984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6676 (or 6664 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 67.

The spelling of 617662873984 in words is "six hundred seventeen billion, six hundred sixty-two million, eight hundred seventy-three thousand, nine hundred eighty-four".