7613142264 has 256 divisors, whose sum is σ = 26204236800. Its totient is φ = 1994264064.

The previous prime is 7613142253. The next prime is 7613142289. The reversal of 7613142264 is 4622413167.

7613142264 is a `hidden beast` number, since 7 + 613 + 14 + 2 + 26 + 4 = 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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3084759 + ... + 3087225.

It is an arithmetic number, because the mean of its divisors is an integer number (102360300).

Almost surely, 2^7613142264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7613142264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13102118400).

7613142264 is an abundant number, since it is smaller than the sum of its proper divisors (18591094536).

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

7613142264 is a wasteful number, since it uses less digits than its factorization.

7613142264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2649 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 7613142264 is about 87253.3223665437. The cubic root of 7613142264 is about 1967.2277792717.

The spelling of 7613142264 in words is "seven billion, six hundred thirteen million, one hundred forty-two thousand, two hundred sixty-four".