609012795600 has 1080 divisors, whose sum is σ = 2454868503360. Its totient is φ = 139429171200.

The previous prime is 609012795557. The next prime is 609012795691. The reversal of 609012795600 is 6597210906.

It is a happy number.

609012795600 is a `hidden beast` number, since 6 + 0 + 9 + 0 + 12 + 79 + 560 + 0 = 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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 891672859 + ... + 891673541.

It is an arithmetic number, because the mean of its divisors is an integer number (2273026392).

Almost surely, 2^609012795600 is an apocalyptic number.

609012795600 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 609012795600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227434251680).

609012795600 is an abundant number, since it is smaller than the sum of its proper divisors (1845855707760).

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

609012795600 is a wasteful number, since it uses less digits than its factorization.

609012795600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 609012795600 in words is "six hundred nine billion, twelve million, seven hundred ninety-five thousand, six hundred".