613866738240 has 896 divisors, whose sum is σ = 2585016115200. Its totient is φ = 134166896640.

The previous prime is 613866738203. The next prime is 613866738271. The reversal of 613866738240 is 42837668316.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 187667805 + ... + 187671075.

Almost surely, 2^613866738240 is an apocalyptic number.

613866738240 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 613866738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292508057600).

613866738240 is an abundant number, since it is smaller than the sum of its proper divisors (1971149376960).

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

613866738240 is a wasteful number, since it uses less digits than its factorization.

613866738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 613866738240 in words is "six hundred thirteen billion, eight hundred sixty-six million, seven hundred thirty-eight thousand, two hundred forty".