8631679680 has 896 divisors, whose sum is σ = 35284623360. Its totient is φ = 1970749440.

The previous prime is 8631679633. The next prime is 8631679681. The reversal of 8631679680 is 869761368.

It is a happy number.

It is a super-3 number, since 3×8631679680³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8631679681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128831007 + ... + 128831073.

It is an arithmetic number, because the mean of its divisors is an integer number (39380160).

Almost surely, 2^8631679680 is an apocalyptic number.

8631679680 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 8631679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17642311680).

8631679680 is an abundant number, since it is smaller than the sum of its proper divisors (26652943680).

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

8631679680 is a wasteful number, since it uses less digits than its factorization.

8631679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 8631679680 is about 92906.8333331838. The cubic root of 8631679680 is about 2051.3122417270.

The spelling of 8631679680 in words is "eight billion, six hundred thirty-one million, six hundred seventy-nine thousand, six hundred eighty".