609094295040 has 320 divisors, whose sum is σ = 2427678190080. Its totient is φ = 126564925440.

The previous prime is 609094295039. The next prime is 609094295057. The reversal of 609094295040 is 40592490906.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76366 + ... + 1106354.

It is an arithmetic number, because the mean of its divisors is an integer number (7586494344).

Almost surely, 2^609094295040 is an apocalyptic number.

609094295040 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 609094295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213839095040).

609094295040 is an abundant number, since it is smaller than the sum of its proper divisors (1818583895040).

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

609094295040 is a wasteful number, since it uses less digits than its factorization.

609094295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030033 (or 1030017 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 609094295040 in words is "six hundred nine billion, ninety-four million, two hundred ninety-five thousand, forty".