8004631680 has 128 divisors (see below), whose sum is σ = 28349798400. Its totient is φ = 2134563840.

The previous prime is 8004631667. The next prime is 8004631681. The reversal of 8004631680 is 861364008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (8004631681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214336 + ... + 248895.

It is an arithmetic number, because the mean of its divisors is an integer number (221482800).

Almost surely, 2^8004631680 is an apocalyptic number.

8004631680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8004631680 is an abundant number, since it is smaller than the sum of its proper divisors (20345166720).

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

8004631680 is a wasteful number, since it uses less digits than its factorization.

8004631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463259 (or 463241 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8004631680 is about 89468.6072318106. The cubic root of 8004631680 is about 2000.3858988696.

Adding to 8004631680 its reverse (861364008), we get a palindrome (8865995688).

The spelling of 8004631680 in words is "eight billion, four million, six hundred thirty-one thousand, six hundred eighty".