613853560320 has 2880 divisors, whose sum is σ = 2908074996288. Its totient is φ = 108999475200.

The previous prime is 613853560301. The next prime is 613853560349. The reversal of 613853560320 is 23065358316.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10063173090 + ... + 10063173150.

Almost surely, 2^613853560320 is an apocalyptic number.

613853560320 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 613853560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454037498144).

613853560320 is an abundant number, since it is smaller than the sum of its proper divisors (2294221435968).

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

613853560320 is a wasteful number, since it uses less digits than its factorization.

613853560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 613853560320 in words is "six hundred thirteen billion, eight hundred fifty-three million, five hundred sixty thousand, three hundred twenty".