609723415203840 has 1872 divisors, whose sum is σ = 2671401615966720. Its totient is φ = 127770175733760.

The previous prime is 609723415203817. The next prime is 609723415203883. The reversal of 609723415203840 is 48302514327906.

609723415203840 is a `hidden beast` number, since 6 + 0 + 9 + 7 + 2 + 3 + 41 + 520 + 38 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5319602212 + ... + 5319716828.

It is an arithmetic number, because the mean of its divisors is an integer number (1427030777760).

It is a 1-persistent number, because it is pandigital, but 2⋅609723415203840 = 1219446830407680 is not.

Almost surely, 2^{609723415203840} is an apocalyptic number.

609723415203840 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 609723415203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335700807983360).

609723415203840 is an abundant number, since it is smaller than the sum of its proper divisors (2061678200762880).

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

609723415203840 is a wasteful number, since it uses less digits than its factorization.

609723415203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114716 (or 114684 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 609723415203840 in words is "six hundred nine trillion, seven hundred twenty-three billion, four hundred fifteen million, two hundred three thousand, eight hundred forty".