613752467328 has 2048 divisors, whose sum is σ = 2579447808000. Its totient is φ = 138549657600.

The previous prime is 613752467323. The next prime is 613752467369. The reversal of 613752467328 is 823764257316.

It is a happy number.

613752467328 is a `hidden beast` number, since 6 + 1 + 3 + 75 + 246 + 7 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613752467323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6327344976 + ... + 6327345072.

It is an arithmetic number, because the mean of its divisors is an integer number (1259496000).

Almost surely, 2^613752467328 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 613752467328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289723904000).

613752467328 is an abundant number, since it is smaller than the sum of its proper divisors (1965695340672).

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

613752467328 is a wasteful number, since it uses less digits than its factorization.

613752467328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 613752467328 in words is "six hundred thirteen billion, seven hundred fifty-two million, four hundred sixty-seven thousand, three hundred twenty-eight".