617109104624880 has 640 divisors, whose sum is σ = 2324841372057600. Its totient is φ = 132434002391040.

The previous prime is 617109104624869. The next prime is 617109104624963. The reversal of 617109104624880 is 88426401901716.

It is a self number, because there is not a number n which added to its sum of digits gives 617109104624880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 332751849 + ... + 334601271.

It is an arithmetic number, because the mean of its divisors is an integer number (3632564643840).

Almost surely, 2^{617109104624880} is an apocalyptic number.

617109104624880 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 617109104624880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162420686028800).

617109104624880 is an abundant number, since it is smaller than the sum of its proper divisors (1707732267432720).

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

617109104624880 is a wasteful number, since it uses less digits than its factorization.

617109104624880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849669 (or 1849663 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 617109104624880 in words is "six hundred seventeen trillion, one hundred nine billion, one hundred four million, six hundred twenty-four thousand, eight hundred eighty".