1613142720 has 672 divisors, whose sum is σ = 6847027200. Its totient is φ = 347719680.

The previous prime is 1613142709. The next prime is 1613142757. The reversal of 1613142720 is 272413161.

1613142720 is a `hidden beast` number, since 1 + 613 + 1 + 4 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22720285 + ... + 22720355.

Almost surely, 2^1613142720 is an apocalyptic number.

1613142720 is a gapful number since it is divisible by the number (10) 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 1613142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423513600).

1613142720 is an abundant number, since it is smaller than the sum of its proper divisors (5233884480).

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

1613142720 is a wasteful number, since it uses less digits than its factorization.

1613142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1613142720 is about 40163.9480131125. The cubic root of 1613142720 is about 1172.8008287278.

Adding to 1613142720 its reverse (272413161), we get a palindrome (1885555881).

The spelling of 1613142720 in words is "one billion, six hundred thirteen million, one hundred forty-two thousand, seven hundred twenty".