8378485632 has 768 divisors, whose sum is σ = 30932928000. Its totient is φ = 2141061120.

The previous prime is 8378485601. The next prime is 8378485637. The reversal of 8378485632 is 2365848738.

8378485632 is a `hidden beast` number, since 8 + 3 + 78 + 4 + 8 + 563 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8378485637) 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, 94140244 + ... + 94140332.

It is an arithmetic number, because the mean of its divisors is an integer number (40277250).

Almost surely, 2^8378485632 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 8378485632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15466464000).

8378485632 is an abundant number, since it is smaller than the sum of its proper divisors (22554442368).

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

8378485632 is a wasteful number, since it uses less digits than its factorization.

8378485632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 8378485632 is about 91534.0681495147. The cubic root of 8378485632 is about 2031.0557437243.

The spelling of 8378485632 in words is "eight billion, three hundred seventy-eight million, four hundred eighty-five thousand, six hundred thirty-two".