609024393879552 has 2688 divisors, whose sum is σ = 2331415921766400. Its totient is φ = 156276907573248.

The previous prime is 609024393879493. The next prime is 609024393879563. The reversal of 609024393879552 is 255978393420906.

609024393879552 is a `hidden beast` number, since 6 + 0 + 9 + 0 + 2 + 4 + 39 + 38 + 7 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 1453518839599 + ... + 1453518840017.

It is an arithmetic number, because the mean of its divisors is an integer number (867342232800).

Almost surely, 2^{609024393879552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 609024393879552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165707960883200).

609024393879552 is an abundant number, since it is smaller than the sum of its proper divisors (1722391527886848).

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

609024393879552 is an frugal number, since it uses more digits than its factorization.

609024393879552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 609024393879552 in words is "six hundred nine trillion, twenty-four billion, three hundred ninety-three million, eight hundred seventy-nine thousand, five hundred fifty-two".