609313985280 has 3456 divisors, whose sum is σ = 3119867412480. Its totient is φ = 109645332480.

The previous prime is 609313985279. The next prime is 609313985281. The reversal of 609313985280 is 82589313906.

609313985280 is a `hidden beast` number, since 609 + 3 + 1 + 3 + 9 + 8 + 5 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (609313985279) and next prime (609313985281).

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is not an unprimeable number, because it can be changed into a prime (609313985281) 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 383 ways as a sum of consecutive naturals, for example, 5915669709 + ... + 5915669811.

Almost surely, 2^609313985280 is an apocalyptic number.

609313985280 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 609313985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559933706240).

609313985280 is an abundant number, since it is smaller than the sum of its proper divisors (2510553427200).

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

609313985280 is a wasteful number, since it uses less digits than its factorization.

609313985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 609313985280 in words is "six hundred nine billion, three hundred thirteen million, nine hundred eighty-five thousand, two hundred eighty".