613549413120 has 576 divisors, whose sum is σ = 2349036748800. Its totient is φ = 133441634304.

The previous prime is 613549413083. The next prime is 613549413137. The reversal of 613549413120 is 21314945316.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123027267 + ... + 123032253.

It is an arithmetic number, because the mean of its divisors is an integer number (4078188800).

Almost surely, 2^613549413120 is an apocalyptic number.

613549413120 is a gapful number since it is divisible by the number (60) 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 613549413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174518374400).

613549413120 is an abundant number, since it is smaller than the sum of its proper divisors (1735487335680).

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

613549413120 is a wasteful number, since it uses less digits than its factorization.

613549413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 613549413120 in words is "six hundred thirteen billion, five hundred forty-nine million, four hundred thirteen thousand, one hundred twenty".