4976759745216 has 1120 divisors, whose sum is σ = 18161640161280. Its totient is φ = 1315314008064.

The previous prime is 4976759745187. The next prime is 4976759745229. The reversal of 4976759745216 is 6125479576794.

4976759745216 is a `hidden beast` number, since 4 + 9 + 7 + 6 + 7 + 5 + 97 + 4 + 521 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 159 ways as a sum of consecutive naturals, for example, 10890064860 + ... + 10890065316.

It is an arithmetic number, because the mean of its divisors is an integer number (16215750144).

Almost surely, 2^{4976759745216} 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 4976759745216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080820080640).

4976759745216 is an abundant number, since it is smaller than the sum of its proper divisors (13184880416064).

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

4976759745216 is a wasteful number, since it uses less digits than its factorization.

4976759745216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 752 counting only the distinct ones).

The product of its digits is 800150400, while the sum is 72.

The spelling of 4976759745216 in words is "four trillion, nine hundred seventy-six billion, seven hundred fifty-nine million, seven hundred forty-five thousand, two hundred sixteen".