613008728640 has 1008 divisors, whose sum is σ = 2683058327040. Its totient is φ = 125726515200.

The previous prime is 613008728611. The next prime is 613008728669. The reversal of 613008728640 is 46827800316.

613008728640 is a `hidden beast` number, since 61 + 300 + 8 + 7 + 286 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (613008728611) and next prime (613008728669).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 192707850 + ... + 192711030.

Almost surely, 2^613008728640 is an apocalyptic number.

613008728640 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 613008728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341529163520).

613008728640 is an abundant number, since it is smaller than the sum of its proper divisors (2070049598400).

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

613008728640 is a wasteful number, since it uses less digits than its factorization.

613008728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 613008728640 in words is "six hundred thirteen billion, eight million, seven hundred twenty-eight thousand, six hundred forty".