609817004160 has 1152 divisors, whose sum is σ = 2558078236800. Its totient is φ = 120965824512.

The previous prime is 609817004149. The next prime is 609817004189. The reversal of 609817004160 is 61400718906.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 656422576 + ... + 656423504.

It is an arithmetic number, because the mean of its divisors is an integer number (2220554025).

Almost surely, 2^609817004160 is an apocalyptic number.

609817004160 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 609817004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279039118400).

609817004160 is an abundant number, since it is smaller than the sum of its proper divisors (1948261232640).

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

609817004160 is a wasteful number, since it uses less digits than its factorization.

609817004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 609817004160 in words is "six hundred nine billion, eight hundred seventeen million, four thousand, one hundred sixty".