4728676571136 has 288 divisors, whose sum is σ = 15613501831200. Its totient is φ = 1350602588160.

The previous prime is 4728676571089. The next prime is 4728676571183. The reversal of 4728676571136 is 6311756768274.

4728676571136 is a `hidden beast` number, since 4 + 7 + 28 + 6 + 7 + 6 + 571 + 1 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (4728676571089) and next prime (4728676571183).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4728676571136² (a number of 26 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718531366 + ... + 718537946.

It is an arithmetic number, because the mean of its divisors is an integer number (54213548025).

Almost surely, 2^{4728676571136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4728676571136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806750915600).

4728676571136 is an abundant number, since it is smaller than the sum of its proper divisors (10884825260064).

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

4728676571136 is a wasteful number, since it uses less digits than its factorization.

4728676571136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12185 (or 12162 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 4728676571136 in words is "four trillion, seven hundred twenty-eight billion, six hundred seventy-six million, five hundred seventy-one thousand, one hundred thirty-six".