613752768 has 168 divisors, whose sum is σ = 1918258800. Its totient is φ = 192393216.

The previous prime is 613752767. The next prime is 613752779. The reversal of 613752768 is 867257316.

613752768 is a `hidden beast` number, since 6 + 1 + 375 + 276 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613752767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498778 + ... + 500006.

Almost surely, 2^613752768 is an apocalyptic number.

613752768 is a gapful number since it is divisible by the number (68) 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 613752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959129400).

613752768 is an abundant number, since it is smaller than the sum of its proper divisors (1304506032).

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

613752768 is a wasteful number, since it uses less digits than its factorization.

613752768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1251 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 613752768 is about 24774.0341486808. The cubic root of 613752768 is about 849.8282319581.

The spelling of 613752768 in words is "six hundred thirteen million, seven hundred fifty-two thousand, seven hundred sixty-eight".