4807600005376 has 81 divisors (see below), whose sum is σ = 11163753073389. Its totient is φ = 2060294756352.

The previous prime is 4807600005361. The next prime is 4807600005463. The reversal of 4807600005376 is 6735000067084.

The square root of 4807600005376 is 2192624.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4559420678400 + 248179326976 = 2135280^2 + 498176^2 .

It is a super-3 number, since 3×4807600005376³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 245564100 + ... + 245583676.

Almost surely, 2^{4807600005376} is an apocalyptic number.

4807600005376 is the 2192624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4807600005376

4807600005376 is an abundant number, since it is smaller than the sum of its proper divisors (6356153068013).

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

4807600005376 is an frugal number, since it uses more digits than its factorization.

4807600005376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39184 (or 19586 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 4807600005376 in words is "four trillion, eight hundred seven billion, six hundred million, five thousand, three hundred seventy-six".