617424424716 has 144 divisors (see below), whose sum is σ = 1654367188320. Its totient is φ = 178856832000.

The previous prime is 617424424711. The next prime is 617424424717.

617424424716 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (617424424711) 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 47 ways as a sum of consecutive naturals, for example, 4180320 + ... + 4325496.

It is an arithmetic number, because the mean of its divisors is an integer number (11488661030).

Almost surely, 2^617424424716 is an apocalyptic number.

617424424716 is a gapful number since it is divisible by the number (66) 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 617424424716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827183594160).

617424424716 is an abundant number, since it is smaller than the sum of its proper divisors (1036942763604).

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

617424424716 is a wasteful number, since it uses less digits than its factorization.

617424424716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145336 (or 145323 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 48.

The spelling of 617424424716 in words is "six hundred seventeen billion, four hundred twenty-four million, four hundred twenty-four thousand, seven hundred sixteen".