609308023680 has 320 divisors, whose sum is σ = 2189009702880. Its totient is φ = 161506897920.

The previous prime is 609308023679. The next prime is 609308023693. The reversal of 609308023680 is 86320803906.

609308023680 is a `hidden beast` number, since 609 + 3 + 0 + 8 + 0 + 2 + 36 + 8 + 0 = 666.

609308023680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8622090 + ... + 8692470.

Almost surely, 2^609308023680 is an apocalyptic number.

609308023680 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 609308023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094504851440).

609308023680 is an abundant number, since it is smaller than the sum of its proper divisors (1579701679200).

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

609308023680 is a wasteful number, since it uses less digits than its factorization.

609308023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70579 (or 70558 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 609308023680 in words is "six hundred nine billion, three hundred eight million, twenty-three thousand, six hundred eighty".