652116223027584 has 1536 divisors, whose sum is σ = 2474407398528000. Its totient is φ = 160290169159680.

The previous prime is 652116223027537. The next prime is 652116223027627. The reversal of 652116223027584 is 485720322611256.

652116223027584 is a `hidden beast` number, since 6 + 5 + 2 + 1 + 1 + 6 + 2 + 2 + 30 + 27 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 652116223027584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186799260079 + ... + 186799263569.

It is an arithmetic number, because the mean of its divisors is an integer number (1610942316750).

Almost surely, 2^{652116223027584} is an apocalyptic number.

652116223027584 is a gapful number since it is divisible by the number (64) 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 652116223027584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237203699264000).

652116223027584 is an abundant number, since it is smaller than the sum of its proper divisors (1822291175500416).

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

652116223027584 is a wasteful number, since it uses less digits than its factorization.

652116223027584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6056 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 652116223027584 in words is "six hundred fifty-two trillion, one hundred sixteen billion, two hundred twenty-three million, twenty-seven thousand, five hundred eighty-four".