609874848000 has 1728 divisors, whose sum is σ = 2536683012864. Its totient is φ = 140507136000.

The previous prime is 609874847993. The next prime is 609874848007. The reversal of 609874848000 is 848478906.

609874848000 is a `hidden beast` number, since 6 + 0 + 9 + 87 + 484 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (609874847993) and next prime (609874848007).

It is not an unprimeable number, because it can be changed into a prime (609874848007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14183135979 + ... + 14183136021.

Almost surely, 2^609874848000 is an apocalyptic number.

609874848000 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 609874848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268341506432).

609874848000 is an abundant number, since it is smaller than the sum of its proper divisors (1926808164864).

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

609874848000 is a wasteful number, since it uses less digits than its factorization.

609874848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 609874848000 in words is "six hundred nine billion, eight hundred seventy-four million, eight hundred forty-eight thousand".