613349716320 has 1440 divisors, whose sum is σ = 2526684941088. Its totient is φ = 140005324800.

The previous prime is 613349716297. The next prime is 613349716327. The reversal of 613349716320 is 23617943316.

613349716320 is a `hidden beast` number, since 6 + 1 + 3 + 3 + 4 + 9 + 7 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613349716327) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16577019342 + ... + 16577019378.

Almost surely, 2^613349716320 is an apocalyptic number.

613349716320 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 613349716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263342470544).

613349716320 is an abundant number, since it is smaller than the sum of its proper divisors (1913335224768).

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

613349716320 is a wasteful number, since it uses less digits than its factorization.

613349716320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 613349716320 in words is "six hundred thirteen billion, three hundred forty-nine million, seven hundred sixteen thousand, three hundred twenty".