617438869320 has 256 divisors, whose sum is σ = 2281429463040. Its totient is φ = 130178239488.

The previous prime is 617438869301. The next prime is 617438869337. The reversal of 617438869320 is 23968834716.

617438869320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15563029 + ... + 15602651.

It is an arithmetic number, because the mean of its divisors is an integer number (8911833840).

Almost surely, 2^617438869320 is an apocalyptic number.

617438869320 is a gapful number since it is divisible by the number (60) 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 617438869320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140714731520).

617438869320 is an abundant number, since it is smaller than the sum of its proper divisors (1663990593720).

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

617438869320 is a wasteful number, since it uses less digits than its factorization.

617438869320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41084 (or 41080 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 617438869320 in words is "six hundred seventeen billion, four hundred thirty-eight million, eight hundred sixty-nine thousand, three hundred twenty".