8782405632 has 1008 divisors, whose sum is σ = 36710764272. Its totient is φ = 1981808640.

The previous prime is 8782405631. The next prime is 8782405633. The reversal of 8782405632 is 2365042878.

8782405632 is a `hidden beast` number, since 8 + 7 + 8 + 2 + 4 + 0 + 5 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (8782405631) and next prime (8782405633).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8782405631) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 516612088 + ... + 516612104.

It is an arithmetic number, because the mean of its divisors is an integer number (36419409).

Almost surely, 2^8782405632 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 8782405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355382136).

8782405632 is an abundant number, since it is smaller than the sum of its proper divisors (27928358640).

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

8782405632 is a wasteful number, since it uses less digits than its factorization.

8782405632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8782405632 is about 93714.4899788715. The cubic root of 8782405632 is about 2063.1833798499.

It can be divided in two parts, 8782 and 405632, that added together give a palindrome (414414).

The spelling of 8782405632 in words is "eight billion, seven hundred eighty-two million, four hundred five thousand, six hundred thirty-two".