609500795904 has 1056 divisors, whose sum is σ = 2451488772096. Its totient is φ = 146074337280.

The previous prime is 609500795879. The next prime is 609500795951. The reversal of 609500795904 is 409597005906.

609500795904 is a `hidden beast` number, since 60 + 9 + 500 + 79 + 5 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249079609 + ... + 249082055.

Almost surely, 2^609500795904 is an apocalyptic number.

609500795904 is a gapful number since it is divisible by the number (64) 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 609500795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225744386048).

609500795904 is an abundant number, since it is smaller than the sum of its proper divisors (1841987976192).

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

609500795904 is a wasteful number, since it uses less digits than its factorization.

609500795904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 609500795904 in words is "six hundred nine billion, five hundred million, seven hundred ninety-five thousand, nine hundred four".