7613692341264 has 315 divisors, whose sum is σ = 22932165280999. Its totient is φ = 2447602375680.

The previous prime is 7613692341253. The next prime is 7613692341287. The reversal of 7613692341264 is 4621432963167.

The square root of 7613692341264 is 2759292.

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

7613692341264 is a `hidden beast` number, since 7 + 6 + 1 + 36 + 9 + 2 + 341 + 264 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 794073467664 + 6819618873600 = 891108^2 + 2611440^2 .

It is a super-2 number, since 2×7613692341264² (a number of 27 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7613692341264.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 8642102104 + ... + 8642102984.

Almost surely, 2^{7613692341264} is an apocalyptic number.

7613692341264 is the 2759292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7613692341264

7613692341264 is an abundant number, since it is smaller than the sum of its proper divisors (15318472939735).

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

7613692341264 is an frugal number, since it uses more digits than its factorization.

7613692341264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 915 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 7613692341264 in words is "seven trillion, six hundred thirteen billion, six hundred ninety-two million, three hundred forty-one thousand, two hundred sixty-four".