613875049436880 has 960 divisors, whose sum is σ = 2607772763860992. Its totient is φ = 125701933916160.

The previous prime is 613875049436821. The next prime is 613875049436881. The reversal of 613875049436880 is 88634940578316.

613875049436880 is a `hidden beast` number, since 6 + 1 + 3 + 8 + 7 + 50 + 494 + 3 + 6 + 8 + 80 = 666.

It is a super-2 number, since 2×613875049436880² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 613875049436799 and 613875049436808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613875049436881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4706735349 + ... + 4706865771.

Almost surely, 2^{613875049436880} is an apocalyptic number.

613875049436880 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 613875049436880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303886381930496).

613875049436880 is an abundant number, since it is smaller than the sum of its proper divisors (1993897714424112).

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

613875049436880 is a wasteful number, since it uses less digits than its factorization.

613875049436880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131696 (or 131687 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 613875049436880 in words is "six hundred thirteen trillion, eight hundred seventy-five billion, forty-nine million, four hundred thirty-six thousand, eight hundred eighty".