4772577348 has 576 divisors, whose sum is σ = 17189093376. Its totient is φ = 1129075200.

The previous prime is 4772577343. The next prime is 4772577361. The reversal of 4772577348 is 8437752774.

4772577348 is a `hidden beast` number, since 47 + 7 + 257 + 7 + 348 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4772577294 and 4772577303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4772577343) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153954093 + ... + 153954123.

It is an arithmetic number, because the mean of its divisors is an integer number (29842176).

Almost surely, 2^4772577348 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 4772577348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8594546688).

4772577348 is an abundant number, since it is smaller than the sum of its proper divisors (12416516028).

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

4772577348 is a wasteful number, since it uses less digits than its factorization.

4772577348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its digits is 9219840, while the sum is 54.

The square root of 4772577348 is about 69083.8428867416. The cubic root of 4772577348 is about 1683.6468102097.

The spelling of 4772577348 in words is "four billion, seven hundred seventy-two million, five hundred seventy-seven thousand, three hundred forty-eight".