609990600960 has 1080 divisors, whose sum is σ = 2441883273984. Its totient is φ = 145178542080.

The previous prime is 609990600941. The next prime is 609990600977. The reversal of 609990600960 is 69006099906.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a junction number, because it is equal to n+sod(n) for n = 609990600897 and 609990600906.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 543178959 + ... + 543180081.

Almost surely, 2^609990600960 is an apocalyptic number.

609990600960 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 609990600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220941636992).

609990600960 is an abundant number, since it is smaller than the sum of its proper divisors (1831892673024).

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

609990600960 is a wasteful number, since it uses less digits than its factorization.

609990600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The spelling of 609990600960 in words is "six hundred nine billion, nine hundred ninety million, six hundred thousand, nine hundred sixty".