7873674117120 has 1152 divisors, whose sum is σ = 32306951476800. Its totient is φ = 1768235728896.

The previous prime is 7873674117109. The next prime is 7873674117143. The reversal of 7873674117120 is 217114763787.

7873674117120 is a `hidden beast` number, since 7 + 87 + 3 + 67 + 411 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×7873674117120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4262952037 + ... + 4262953883.

Almost surely, 2^{7873674117120} is an apocalyptic number.

7873674117120 is a gapful number since it is divisible by the number (70) 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 7873674117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16153475738400).

7873674117120 is an abundant number, since it is smaller than the sum of its proper divisors (24433277359680).

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

7873674117120 is a wasteful number, since it uses less digits than its factorization.

7873674117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The spelling of 7873674117120 in words is "seven trillion, eight hundred seventy-three billion, six hundred seventy-four million, one hundred seventeen thousand, one hundred twenty".