9632638080 has 384 divisors, whose sum is σ = 36058342320. Its totient is φ = 2355462144.

The previous prime is 9632638019. The next prime is 9632638133. The reversal of 9632638080 is 808362369.

9632638080 is a `hidden beast` number, since 9 + 6 + 3 + 2 + 638 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3993228864 + 5639409216 = 63192^2 + 75096^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14751034 + ... + 14751686.

Almost surely, 2^9632638080 is an apocalyptic number.

9632638080 is a gapful number since it is divisible by the number (90) 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 9632638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18029171160).

9632638080 is an abundant number, since it is smaller than the sum of its proper divisors (26425704240).

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

9632638080 is a wasteful number, since it uses less digits than its factorization.

9632638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 9632638080 is about 98146.0038921606. The cubic root of 9632638080 is about 2127.7229650474.

The spelling of 9632638080 in words is "nine billion, six hundred thirty-two million, six hundred thirty-eight thousand, eighty".