609800950800 has 300 divisors, whose sum is σ = 2204287753360. Its totient is φ = 161442512640.

The previous prime is 609800950757. The next prime is 609800950807. The reversal of 609800950800 is 8059008906.

609800950800 is a `hidden beast` number, since 60 + 9 + 80 + 0 + 9 + 508 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (609800950807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4435899 + ... + 4571301.

Almost surely, 2^609800950800 is an apocalyptic number.

609800950800 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 609800950800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102143876680).

609800950800 is an abundant number, since it is smaller than the sum of its proper divisors (1594486802560).

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

609800950800 is a wasteful number, since it uses less digits than its factorization.

609800950800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135572 (or 135552 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 609800950800 in words is "six hundred nine billion, eight hundred million, nine hundred fifty thousand, eight hundred".