8412757632 has 192 divisors, whose sum is σ = 26378913600. Its totient is φ = 2638983168.

The previous prime is 8412757631. The next prime is 8412757643. The reversal of 8412757632 is 2367572148.

8412757632 is a `hidden beast` number, since 8 + 4 + 1 + 2 + 7 + 5 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (8412757631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994573 + ... + 1002995.

It is an arithmetic number, because the mean of its divisors is an integer number (137390175).

Almost surely, 2^8412757632 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 8412757632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13189456800).

8412757632 is an abundant number, since it is smaller than the sum of its proper divisors (17966155968).

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

8412757632 is a wasteful number, since it uses less digits than its factorization.

8412757632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8480 (or 8445 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 8412757632 is about 91721.0860816639. The cubic root of 8412757632 is about 2033.8213050348.

The spelling of 8412757632 in words is "eight billion, four hundred twelve million, seven hundred fifty-seven thousand, six hundred thirty-two".