8648356500 has 576 divisors, whose sum is σ = 33623815680. Its totient is φ = 1879891200.

The previous prime is 8648356499. The next prime is 8648356513. The reversal of 8648356500 is 56538468.

8648356500 is a `hidden beast` number, since 8 + 6 + 4 + 83 + 565 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49990414 + ... + 49990586.

It is an arithmetic number, because the mean of its divisors is an integer number (58374680).

Almost surely, 2^8648356500 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 8648356500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16811907840).

8648356500 is an abundant number, since it is smaller than the sum of its proper divisors (24975459180).

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

8648356500 is a wasteful number, since it uses less digits than its factorization.

8648356500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 8648356500 is about 92996.5402582268. The cubic root of 8648356500 is about 2052.6324697910.

The spelling of 8648356500 in words is "eight billion, six hundred forty-eight million, three hundred fifty-six thousand, five hundred".