617376490752 has 576 divisors, whose sum is σ = 1964374917120. Its totient is φ = 168509472768.

The previous prime is 617376490741. The next prime is 617376490793. The reversal of 617376490752 is 257094673716.

It is a junction number, because it is equal to n+sod(n) for n = 617376490692 and 617376490701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3133890718 + ... + 3133890914.

It is an arithmetic number, because the mean of its divisors is an integer number (3410373120).

Almost surely, 2^617376490752 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 617376490752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982187458560).

617376490752 is an abundant number, since it is smaller than the sum of its proper divisors (1346998426368).

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

617376490752 is a wasteful number, since it uses less digits than its factorization.

617376490752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 57.

The spelling of 617376490752 in words is "six hundred seventeen billion, three hundred seventy-six million, four hundred ninety thousand, seven hundred fifty-two".