8613004083264 has 567 divisors, whose sum is σ = 29867449003743. Its totient is φ = 2457054819072.

The previous prime is 8613004083253. The next prime is 8613004083373. The reversal of 8613004083264 is 4623804003168.

The square root of 8613004083264 is 2934792.

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

8613004083264 is a `hidden beast` number, since 8 + 6 + 1 + 300 + 4 + 0 + 83 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (567).

It is a super-3 number, since 3×8613004083264³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13312216189 + ... + 13312216835.

Almost surely, 2^{8613004083264} is an apocalyptic number.

8613004083264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

8613004083264 is the 2934792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8613004083264

8613004083264 is an abundant number, since it is smaller than the sum of its proper divisors (21254444920479).

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

8613004083264 is an frugal number, since it uses more digits than its factorization.

8613004083264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 8613004083264 in words is "eight trillion, six hundred thirteen billion, four million, eighty-three thousand, two hundred sixty-four".