4704779520 has 432 divisors, whose sum is σ = 19070618112. Its totient is φ = 1048412160.

The previous prime is 4704779507. The next prime is 4704779543. The reversal of 4704779520 is 259774074.

4704779520 is a `hidden beast` number, since 4 + 70 + 477 + 95 + 20 = 666.

It is a super-2 number, since 2×4704779520² = 44269900663622860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3305529 + ... + 3306951.

Almost surely, 2^4704779520 is an apocalyptic number.

4704779520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4704779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9535309056).

4704779520 is an abundant number, since it is smaller than the sum of its proper divisors (14365838592).

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

4704779520 is a wasteful number, since it uses less digits than its factorization.

4704779520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 4704779520 is about 68591.3953787208. The cubic root of 4704779520 is about 1675.6362943810.

The spelling of 4704779520 in words is "four billion, seven hundred four million, seven hundred seventy-nine thousand, five hundred twenty".