609161604480 has 768 divisors, whose sum is σ = 2480116242240. Its totient is φ = 135827619840.

The previous prime is 609161604451. The next prime is 609161604497. The reversal of 609161604480 is 84406161906.

609161604480 is a `hidden beast` number, since 6 + 0 + 9 + 1 + 6 + 160 + 4 + 480 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261105394 + ... + 261107726.

Almost surely, 2^609161604480 is an apocalyptic number.

609161604480 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 609161604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240058121120).

609161604480 is an abundant number, since it is smaller than the sum of its proper divisors (1870954637760).

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

609161604480 is a wasteful number, since it uses less digits than its factorization.

609161604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 609161604480 in words is "six hundred nine billion, one hundred sixty-one million, six hundred four thousand, four hundred eighty".