4705056816672 has 96 divisors (see below), whose sum is σ = 12543701990400. Its totient is φ = 1544039813120.

The previous prime is 4705056816659. The next prime is 4705056816679. The reversal of 4705056816672 is 2766186505074.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4705056816672² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4705056816679) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 160897 + ... + 3071807.

It is an arithmetic number, because the mean of its divisors is an integer number (130663562400).

Almost surely, 2^{4705056816672} 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 4705056816672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271850995200).

4705056816672 is an abundant number, since it is smaller than the sum of its proper divisors (7838645173728).

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

4705056816672 is a wasteful number, since it uses less digits than its factorization.

4705056816672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911186 (or 2911178 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 4705056816672 in words is "four trillion, seven hundred five billion, fifty-six million, eight hundred sixteen thousand, six hundred seventy-two".