8632275120 has 360 divisors, whose sum is σ = 33875425584. Its totient is φ = 1964196864.

The previous prime is 8632275101. The next prime is 8632275139. The reversal of 8632275120 is 215722368.

8632275120 is a `hidden beast` number, since 8 + 632 + 2 + 7 + 5 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8632275101) and next prime (8632275139).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10830562 + ... + 10831358.

Almost surely, 2^8632275120 is an apocalyptic number.

8632275120 is a gapful number since it is divisible by the number (80) 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 8632275120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16937712792).

8632275120 is an abundant number, since it is smaller than the sum of its proper divisors (25243150464).

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

8632275120 is a wasteful number, since it uses less digits than its factorization.

8632275120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8632275120 is about 92910.0377784876. The cubic root of 8632275120 is about 2051.3594092665.

Adding to 8632275120 its reverse (215722368), we get a palindrome (8847997488).

The spelling of 8632275120 in words is "eight billion, six hundred thirty-two million, two hundred seventy-five thousand, one hundred twenty".