609781993128000 has 5376 divisors, whose sum is σ = 3006981547315200. Its totient is φ = 119297525760000.

The previous prime is 609781993127897. The next prime is 609781993128001. The reversal of 609781993128000 is 821399187906.

609781993128000 is a `hidden beast` number, since 60 + 9 + 78 + 199 + 312 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (609781993128001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 400382135239 + ... + 400382136761.

It is an arithmetic number, because the mean of its divisors is an integer number (559334365200).

Almost surely, 2^{609781993128000} is an apocalyptic number.

609781993128000 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 609781993128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503490773657600).

609781993128000 is an abundant number, since it is smaller than the sum of its proper divisors (2397199554187200).

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

609781993128000 is a wasteful number, since it uses less digits than its factorization.

609781993128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 609781993128000 in words is "six hundred nine trillion, seven hundred eighty-one billion, nine hundred ninety-three million, one hundred twenty-eight thousand".