613402240000 has 495 divisors, whose sum is σ = 1703363156341. Its totient is φ = 220549120000.

The previous prime is 613402239979. The next prime is 613402240051. The reversal of 613402240000 is 42204316.

It is a happy number.

The square root of 613402240000 is 783200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 595885188096 + 17517051904 = 771936^2 + 132352^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6892159956 + ... + 6892160044.

Almost surely, 2^613402240000 is an apocalyptic number.

613402240000 is the 783200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613402240000

613402240000 is an abundant number, since it is smaller than the sum of its proper divisors (1089960916341).

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

613402240000 is an frugal number, since it uses more digits than its factorization.

613402240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 613402240000 its reverse (42204316), we get a palindrome (613444444316).

The spelling of 613402240000 in words is "six hundred thirteen billion, four hundred two million, two hundred forty thousand".