8632249776 has 120 divisors (see below), whose sum is σ = 24885862560. Its totient is φ = 2791231488.

The previous prime is 8632249771. The next prime is 8632249811. The reversal of 8632249776 is 6779422368.

8632249776 is a `hidden beast` number, since 8 + 63 + 22 + 497 + 76 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8632249771) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1910496 + ... + 1915008.

It is an arithmetic number, because the mean of its divisors is an integer number (207382188).

Almost surely, 2^8632249776 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 8632249776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12442931280).

8632249776 is an abundant number, since it is smaller than the sum of its proper divisors (16253612784).

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

8632249776 is a wasteful number, since it uses less digits than its factorization.

8632249776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4914 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 8632249776 is about 92909.9013883881. The cubic root of 8632249776 is about 2051.3574016960.

The spelling of 8632249776 in words is "eight billion, six hundred thirty-two million, two hundred forty-nine thousand, seven hundred seventy-six".