8628610752 has 224 divisors, whose sum is σ = 27427123200. Its totient is φ = 2650807296.

The previous prime is 8628610741. The next prime is 8628610769. The reversal of 8628610752 is 2570168268.

8628610752 is a `hidden beast` number, since 8 + 6 + 28 + 610 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8628610698 and 8628610707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211233 + ... + 1218335.

Almost surely, 2^8628610752 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 8628610752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713561600).

8628610752 is an abundant number, since it is smaller than the sum of its proper divisors (18798512448).

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

8628610752 is a wasteful number, since it uses less digits than its factorization.

8628610752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7180 (or 7164 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 8628610752 is about 92890.3157062134. The cubic root of 8628610752 is about 2051.0691034256.

The spelling of 8628610752 in words is "eight billion, six hundred twenty-eight million, six hundred ten thousand, seven hundred fifty-two".