617901881727972 has 96 divisors (see below), whose sum is σ = 1510505794473984. Its totient is φ = 196220115520000.

The previous prime is 617901881727971. The next prime is 617901881727979. The reversal of 617901881727972 is 279727188109716.

It is a junction number, because it is equal to n+sod(n) for n = 617901881727894 and 617901881727903.

It is not an unprimeable number, because it can be changed into a prime (617901881727971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2089285573 + ... + 2089581299.

It is an arithmetic number, because the mean of its divisors is an integer number (15734435359104).

Almost surely, 2^{617901881727972} 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 617901881727972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755252897236992).

617901881727972 is an abundant number, since it is smaller than the sum of its proper divisors (892603912746012).

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

617901881727972 is a wasteful number, since it uses less digits than its factorization.

617901881727972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326169 (or 326167 counting only the distinct ones).

The product of its (nonzero) digits is 298722816, while the sum is 75.

The spelling of 617901881727972 in words is "six hundred seventeen trillion, nine hundred one billion, eight hundred eighty-one million, seven hundred twenty-seven thousand, nine hundred seventy-two".