613408619520 has 440 divisors, whose sum is σ = 2222941287600. Its totient is φ = 161727971328.

The previous prime is 613408619449. The next prime is 613408619533. The reversal of 613408619520 is 25916804316.

613408619520 is a `hidden beast` number, since 6 + 1 + 3 + 4 + 0 + 8 + 619 + 5 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36901771 + ... + 36918389.

It is an arithmetic number, because the mean of its divisors is an integer number (5052139290).

Almost surely, 2^613408619520 is an apocalyptic number.

613408619520 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 613408619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111470643800).

613408619520 is an abundant number, since it is smaller than the sum of its proper divisors (1609532668080).

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

613408619520 is a wasteful number, since it uses less digits than its factorization.

613408619520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16745 (or 16718 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 613408619520 in words is "six hundred thirteen billion, four hundred eight million, six hundred nineteen thousand, five hundred twenty".