8680880686464 has 384 divisors, whose sum is σ = 29360907264000. Its totient is φ = 2460707859456.

The previous prime is 8680880686333. The next prime is 8680880686481. The reversal of 8680880686464 is 4646860880868.

It is a happy number.

8680880686464 is a `hidden beast` number, since 8 + 6 + 8 + 0 + 8 + 80 + 6 + 86 + 464 = 666.

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

It is a super-3 number, since 3×8680880686464³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8680880686392 and 8680880686401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50095779 + ... + 50268765.

It is an arithmetic number, because the mean of its divisors is an integer number (76460696000).

Almost surely, 2^{8680880686464} is an apocalyptic number.

8680880686464 is a gapful number since it is divisible by the number (84) 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 8680880686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680453632000).

8680880686464 is an abundant number, since it is smaller than the sum of its proper divisors (20680026577536).

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

8680880686464 is a wasteful number, since it uses less digits than its factorization.

8680880686464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173155 (or 173126 counting only the distinct ones).

The product of its (nonzero) digits is 679477248, while the sum is 72.

The spelling of 8680880686464 in words is "eight trillion, six hundred eighty billion, eight hundred eighty million, six hundred eighty-six thousand, four hundred sixty-four".