8217671978880 has 3584 divisors, whose sum is σ = 39017602713600. Its totient is φ = 1605981634560.

The previous prime is 8217671978839. The next prime is 8217671978881. The reversal of 8217671978880 is 888791767128.

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 = 8217671978799 and 8217671978808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8217671978881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 49207616557 + ... + 49207616723.

It is an arithmetic number, because the mean of its divisors is an integer number (10886607900).

Almost surely, 2^{8217671978880} is an apocalyptic number.

8217671978880 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 8217671978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19508801356800).

8217671978880 is an abundant number, since it is smaller than the sum of its proper divisors (30799930734720).

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

8217671978880 is a wasteful number, since it uses less digits than its factorization.

8217671978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 72.

The spelling of 8217671978880 in words is "eight trillion, two hundred seventeen billion, six hundred seventy-one million, nine hundred seventy-eight thousand, eight hundred eighty".