8673812098560 has 1920 divisors, whose sum is σ = 37519777152000. Its totient is φ = 1845497364480.

The previous prime is 8673812098537. The next prime is 8673812098561. The reversal of 8673812098560 is 658902183768.

8673812098560 is a `hidden beast` number, since 8 + 67 + 3 + 8 + 1 + 2 + 0 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×8673812098560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8673812098561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9159252007 + ... + 9159252953.

It is an arithmetic number, because the mean of its divisors is an integer number (19541550600).

Almost surely, 2^{8673812098560} is an apocalyptic number.

8673812098560 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 8673812098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18759888576000).

8673812098560 is an abundant number, since it is smaller than the sum of its proper divisors (28845965053440).

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

8673812098560 is a wasteful number, since it uses less digits than its factorization.

8673812098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 8673812098560 in words is "eight trillion, six hundred seventy-three billion, eight hundred twelve million, ninety-eight thousand, five hundred sixty".