8173657873920 has 1920 divisors, whose sum is σ = 35416963169280. Its totient is φ = 1568813875200.

The previous prime is 8173657873903. The next prime is 8173657873957. The reversal of 8173657873920 is 293787563718.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 5067363034 + ... + 5067364646.

It is an arithmetic number, because the mean of its divisors is an integer number (18446334984).

Almost surely, 2^{8173657873920} is an apocalyptic number.

8173657873920 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 8173657873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708481584640).

8173657873920 is an abundant number, since it is smaller than the sum of its proper divisors (27243305295360).

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

8173657873920 is a wasteful number, since it uses less digits than its factorization.

8173657873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 66.

The spelling of 8173657873920 in words is "eight trillion, one hundred seventy-three billion, six hundred fifty-seven million, eight hundred seventy-three thousand, nine hundred twenty".