8746053120 has 720 divisors, whose sum is σ = 36094975488. Its totient is φ = 1950842880.

The previous prime is 8746053119. The next prime is 8746053143. The reversal of 8746053120 is 213506478.

8746053120 is a `hidden beast` number, since 87 + 46 + 0 + 531 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68866497 + ... + 68866623.

Almost surely, 2^8746053120 is an apocalyptic number.

8746053120 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 8746053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18047487744).

8746053120 is an abundant number, since it is smaller than the sum of its proper divisors (27348922368).

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

8746053120 is a wasteful number, since it uses less digits than its factorization.

8746053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8746053120 is about 93520.3353287401. The cubic root of 8746053120 is about 2060.3327705732.

Adding to 8746053120 its reverse (213506478), we get a palindrome (8959559598).

The spelling of 8746053120 in words is "eight billion, seven hundred forty-six million, fifty-three thousand, one hundred twenty".