611028800328960 has 1440 divisors, whose sum is σ = 2465349343446528. Its totient is φ = 143374503444480.

The previous prime is 611028800328953. The next prime is 611028800328997. The reversal of 611028800328960 is 69823008820116.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 611028800328897 and 611028800328906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9083060125 + ... + 9083127395.

Almost surely, 2^{611028800328960} is an apocalyptic number.

611028800328960 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 611028800328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232674671723264).

611028800328960 is an abundant number, since it is smaller than the sum of its proper divisors (1854320543117568).

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

611028800328960 is a wasteful number, since it uses less digits than its factorization.

611028800328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67633 (or 67610 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 611028800328960 in words is "six hundred eleven trillion, twenty-eight billion, eight hundred million, three hundred twenty-eight thousand, nine hundred sixty".