609038414046720 has 2880 divisors, whose sum is σ = 2647891122978816. Its totient is φ = 126575145123840.

The previous prime is 609038414046683. The next prime is 609038414046779. The reversal of 609038414046720 is 27640414830906.

609038414046720 is a `hidden beast` number, since 6 + 0 + 9 + 0 + 38 + 4 + 140 + 467 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 229220327632 + ... + 229220330288.

Almost surely, 2^{609038414046720} is an apocalyptic number.

609038414046720 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 609038414046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323945561489408).

609038414046720 is an abundant number, since it is smaller than the sum of its proper divisors (2038852708932096).

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

609038414046720 is a wasteful number, since it uses less digits than its factorization.

609038414046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 609038414046720 in words is "six hundred nine trillion, thirty-eight billion, four hundred fourteen million, forty-six thousand, seven hundred twenty".