8463004672 has 66 divisors (see below), whose sum is σ = 17390218902. Its totient is φ = 4116455424.

The previous prime is 8463004657. The next prime is 8463004699. The reversal of 8463004672 is 2764003648.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3384446976 + 5078557696 = 58176^2 + 71264^2 .

It is a super-3 number, since 3×8463004672³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1398838 + ... + 1404874.

Almost surely, 2^8463004672 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 8463004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8695109451).

8463004672 is an abundant number, since it is smaller than the sum of its proper divisors (8927214230).

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

8463004672 is an equidigital number, since it uses as much as digits as its factorization.

8463004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 8463004672 is about 91994.5904496563. The cubic root of 8463004672 is about 2037.8624181340.

The spelling of 8463004672 in words is "eight billion, four hundred sixty-three million, four thousand, six hundred seventy-two".