8436460032 has 960 divisors, whose sum is σ = 34317803520. Its totient is φ = 1924300800.

The previous prime is 8436459953. The next prime is 8436460033. The reversal of 8436460032 is 2300646348.

It is a happy number.

8436460032 is a `hidden beast` number, since 8 + 4 + 3 + 646 + 0 + 0 + 3 + 2 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 (8436460033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142990819 + ... + 142990877.

It is an arithmetic number, because the mean of its divisors is an integer number (35747712).

Almost surely, 2^8436460032 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 8436460032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17158901760).

8436460032 is an abundant number, since it is smaller than the sum of its proper divisors (25881343488).

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

8436460032 is a wasteful number, since it uses less digits than its factorization.

8436460032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 8436460032 is about 91850.2043111500. The cubic root of 8436460032 is about 2035.7295673070.

The spelling of 8436460032 in words is "eight billion, four hundred thirty-six million, four hundred sixty thousand, thirty-two".