609128334720000 has 2640 divisors, whose sum is σ = 2401885118730240. Its totient is φ = 148171161600000.

The previous prime is 609128334719981. The next prime is 609128334720011. The reversal of 609128334720000 is 27433821906.

609128334720000 is a `hidden beast` number, since 6 + 0 + 9 + 1 + 283 + 347 + 20 + 0 + 0 + 0 = 666.

609128334720000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 291588478956 + ... + 291588481044.

It is an arithmetic number, because the mean of its divisors is an integer number (909804969216).

Almost surely, 2^{609128334720000} is an apocalyptic number.

609128334720000 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 609128334720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200942559365120).

609128334720000 is an abundant number, since it is smaller than the sum of its proper divisors (1792756784010240).

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

609128334720000 is a wasteful number, since it uses less digits than its factorization.

609128334720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 609128334720000 in words is "six hundred nine trillion, one hundred twenty-eight billion, three hundred thirty-four million, seven hundred twenty thousand".