4779295545600 has 243 divisors, whose sum is σ = 17088936285603. Its totient is φ = 1274338897920.

The previous prime is 4779295545587. The next prime is 4779295545601. The reversal of 4779295545600 is 65455929774.

The square root of 4779295545600 is 2186160.

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

4779295545600 is a `hidden beast` number, since 4 + 7 + 7 + 9 + 29 + 5 + 545 + 60 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1456520714496 + 3322774831104 = 1206864^2 + 1822848^2 .

It is not an unprimeable number, because it can be changed into a prime (4779295545601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 524673846 + ... + 524682954.

Almost surely, 2^{4779295545600} is an apocalyptic number.

4779295545600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4779295545600 is the 2186160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4779295545600

4779295545600 is an abundant number, since it is smaller than the sum of its proper divisors (12309640740003).

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

4779295545600 is an frugal number, since it uses more digits than its factorization.

4779295545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18250 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 4779295545600 in words is "four trillion, seven hundred seventy-nine billion, two hundred ninety-five million, five hundred forty-five thousand, six hundred".