617728649061888 has 1440 divisors, whose sum is σ = 2438032208451840. Its totient is φ = 154342467256320.

The previous prime is 617728649061883. The next prime is 617728649061893. The reversal of 617728649061888 is 888160946827716.

It is a happy number.

617728649061888 is a `hidden beast` number, since 6 + 1 + 77 + 286 + 4 + 90 + 6 + 188 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (617728649061883) and next prime (617728649061893).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617728649061883) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1505601733 + ... + 1506011963.

It is an arithmetic number, because the mean of its divisors is an integer number (1693077922536).

Almost surely, 2^{617728649061888} 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 617728649061888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219016104225920).

617728649061888 is an abundant number, since it is smaller than the sum of its proper divisors (1820303559389952).

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

617728649061888 is a wasteful number, since it uses less digits than its factorization.

617728649061888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410310 (or 410275 counting only the distinct ones).

The product of its (nonzero) digits is 3121348608, while the sum is 81.

The spelling of 617728649061888 in words is "six hundred seventeen trillion, seven hundred twenty-eight billion, six hundred forty-nine million, sixty-one thousand, eight hundred eighty-eight".