8436130560 has 720 divisors, whose sum is σ = 35525619360. Its totient is φ = 1884487680.

The previous prime is 8436130501. The next prime is 8436130561. The reversal of 8436130560 is 650316348.

8436130560 is a `hidden beast` number, since 8 + 4 + 3 + 61 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8436130561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14825956 + ... + 14826524.

It is an arithmetic number, because the mean of its divisors is an integer number (49341138).

Almost surely, 2^8436130560 is an apocalyptic number.

8436130560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8436130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17762809680).

8436130560 is an abundant number, since it is smaller than the sum of its proper divisors (27089488800).

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

8436130560 is a wasteful number, since it uses less digits than its factorization.

8436130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 8436130560 is about 91848.4107646942. The cubic root of 8436130560 is about 2035.7030662777.

It can be divided in two parts, 84361 and 30560, that added together give a square (114921 = 339²).

The spelling of 8436130560 in words is "eight billion, four hundred thirty-six million, one hundred thirty thousand, five hundred sixty".