613646796672 has 1024 divisors, whose sum is σ = 2345849856000. Its totient is φ = 153559203840.

The previous prime is 613646796629. The next prime is 613646796689. The reversal of 613646796672 is 276697646316.

613646796672 is a `hidden beast` number, since 6 + 13 + 6 + 467 + 96 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 556342873 + ... + 556343975.

It is an arithmetic number, because the mean of its divisors is an integer number (2290869000).

Almost surely, 2^613646796672 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 613646796672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172924928000).

613646796672 is an abundant number, since it is smaller than the sum of its proper divisors (1732203059328).

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

613646796672 is a wasteful number, since it uses less digits than its factorization.

613646796672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1218 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 63.

The spelling of 613646796672 in words is "six hundred thirteen billion, six hundred forty-six million, seven hundred ninety-six thousand, six hundred seventy-two".