613630080000 has 2200 divisors, whose sum is σ = 2785587076800. Its totient is φ = 131383296000.

The previous prime is 613630079977. The next prime is 613630080001. The reversal of 613630080000 is 80036316.

613630080000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613630080001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 6894719956 + ... + 6894720044.

It is an arithmetic number, because the mean of its divisors is an integer number (1266175944).

Almost surely, 2^613630080000 is an apocalyptic number.

613630080000 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 613630080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392793538400).

613630080000 is an abundant number, since it is smaller than the sum of its proper divisors (2171956996800).

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

613630080000 is an equidigital number, since it uses as much as digits as its factorization.

613630080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 613630080000 in words is "six hundred thirteen billion, six hundred thirty million, eighty thousand".