613678676448 has 96 divisors (see below), whose sum is σ = 1633895746560. Its totient is φ = 201648545280.

The previous prime is 613678676417. The next prime is 613678676467. The reversal of 613678676448 is 844676876316.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×613678676448³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4721386 + ... + 4849622.

It is an arithmetic number, because the mean of its divisors is an integer number (17019747360).

Almost surely, 2^613678676448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613678676448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816947873280).

613678676448 is an abundant number, since it is smaller than the sum of its proper divisors (1020217070112).

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

613678676448 is a wasteful number, since it uses less digits than its factorization.

613678676448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128960 (or 128952 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 66.

The spelling of 613678676448 in words is "six hundred thirteen billion, six hundred seventy-eight million, six hundred seventy-six thousand, four hundred forty-eight".