617179740416 has 72 divisors (see below), whose sum is σ = 1249662551424. Its totient is φ = 304158412800.

The previous prime is 617179740407. The next prime is 617179740461. The reversal of 617179740416 is 614047971716.

It is a super-2 number, since 2×617179740416² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30021341 + ... + 30041891.

Almost surely, 2^617179740416 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 617179740416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624831275712).

617179740416 is an abundant number, since it is smaller than the sum of its proper divisors (632482811008).

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

617179740416 is a wasteful number, since it uses less digits than its factorization.

617179740416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22247 (or 22233 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 53.

The spelling of 617179740416 in words is "six hundred seventeen billion, one hundred seventy-nine million, seven hundred forty thousand, four hundred sixteen".