609140736000 has 1152 divisors, whose sum is σ = 2414399944320. Its totient is φ = 152882380800.

The previous prime is 609140735969. The next prime is 609140736019. The reversal of 609140736000 is 637041906.

609140736000 is a `hidden beast` number, since 6 + 0 + 9 + 1 + 40 + 7 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35831807992 + ... + 35831808008.

It is an arithmetic number, because the mean of its divisors is an integer number (2095833285).

Almost surely, 2^609140736000 is an apocalyptic number.

609140736000 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 609140736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207199972160).

609140736000 is an abundant number, since it is smaller than the sum of its proper divisors (1805259208320).

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

609140736000 is an frugal number, since it uses more digits than its factorization.

609140736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 609140736000 its reverse (637041906), we get a palindrome (609777777906).

The spelling of 609140736000 in words is "six hundred nine billion, one hundred forty million, seven hundred thirty-six thousand".