7613261712 has 240 divisors, whose sum is σ = 25508694720. Its totient is φ = 2167699968.

The previous prime is 7613261707. The next prime is 7613261723. The reversal of 7613261712 is 2171623167.

It is a happy number.

7613261712 is a `hidden beast` number, since 7 + 6 + 1 + 32 + 617 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9673383 + ... + 9674169.

It is an arithmetic number, because the mean of its divisors is an integer number (106286228).

Almost surely, 2^7613261712 is an apocalyptic number.

7613261712 is a gapful number since it is divisible by the number (72) 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 7613261712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12754347360).

7613261712 is an abundant number, since it is smaller than the sum of its proper divisors (17895433008).

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

7613261712 is a wasteful number, since it uses less digits than its factorization.

7613261712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1256 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 7613261712 is about 87254.0068535537. The cubic root of 7613261712 is about 1967.2380676296.

Adding to 7613261712 its reverse (2171623167), we get a palindrome (9784884879).

The spelling of 7613261712 in words is "seven billion, six hundred thirteen million, two hundred sixty-one thousand, seven hundred twelve".