613460642256 has 1920 divisors, whose sum is σ = 2495840256000. Its totient is φ = 144027072000.

The previous prime is 613460642231. The next prime is 613460642281. The reversal of 613460642256 is 652246064316.

It is a happy number.

613460642256 is a `hidden beast` number, since 6 + 1 + 34 + 606 + 4 + 2 + 2 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (613460642231) and next prime (613460642281).

It is a super-3 number, since 3×613460642256³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8640290701 + ... + 8640290771.

It is an arithmetic number, because the mean of its divisors is an integer number (1299916800).

Almost surely, 2^613460642256 is an apocalyptic number.

613460642256 is a gapful number since it is divisible by the number (66) 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 613460642256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247920128000).

613460642256 is an abundant number, since it is smaller than the sum of its proper divisors (1882379613744).

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

613460642256 is a wasteful number, since it uses less digits than its factorization.

613460642256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 613460642256 in words is "six hundred thirteen billion, four hundred sixty million, six hundred forty-two thousand, two hundred fifty-six".