613347680 has 192 divisors, whose sum is σ = 1670518080. Its totient is φ = 210739200.

The previous prime is 613347677. The next prime is 613347701. The reversal of 613347680 is 86743316.

It is a super-2 number, since 2×613347680² = 752390753122764800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3113342 + ... + 3113538.

It is an arithmetic number, because the mean of its divisors is an integer number (8700615).

Almost surely, 2^613347680 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 613347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835259040).

613347680 is an abundant number, since it is smaller than the sum of its proper divisors (1057170400).

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

613347680 is a wasteful number, since it uses less digits than its factorization.

613347680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 613347680 is about 24765.8571424451. The cubic root of 613347680 is about 849.6412234411.

The spelling of 613347680 in words is "six hundred thirteen million, three hundred forty-seven thousand, six hundred eighty".