613840347120 has 1920 divisors, whose sum is σ = 2723665674240. Its totient is φ = 111128371200.

The previous prime is 613840347079. The next prime is 613840347143. The reversal of 613840347120 is 21743048316.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4833388497 + ... + 4833388623.

It is an arithmetic number, because the mean of its divisors is an integer number (1418575872).

Almost surely, 2^613840347120 is an apocalyptic number.

613840347120 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 613840347120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361832837120).

613840347120 is an abundant number, since it is smaller than the sum of its proper divisors (2109825327120).

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

613840347120 is a wasteful number, since it uses less digits than its factorization.

613840347120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 613840347120 in words is "six hundred thirteen billion, eight hundred forty million, three hundred forty-seven thousand, one hundred twenty".