613448017920 has 672 divisors, whose sum is σ = 2267529624360. Its totient is φ = 159093227520.

The previous prime is 613448017867. The next prime is 613448017943. The reversal of 613448017920 is 29710844316.

613448017920 is a `hidden beast` number, since 6 + 13 + 448 + 0 + 179 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 600637400064 + 12810617856 = 775008^2 + 113184^2 .

It is a super-2 number, since 2×613448017920² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 276202410 + ... + 276204630.

Almost surely, 2^613448017920 is an apocalyptic number.

613448017920 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 613448017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133764812180).

613448017920 is an abundant number, since it is smaller than the sum of its proper divisors (1654081606440).

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

613448017920 is an equidigital number, since it uses as much as digits as its factorization.

613448017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 613448017920 in words is "six hundred thirteen billion, four hundred forty-eight million, seventeen thousand, nine hundred twenty".