4774724000 has 96 divisors (see below), whose sum is σ = 11818484496. Its totient is φ = 1895731200.

The previous prime is 4774723981. The next prime is 4774724011. The reversal of 4774724000 is 4274774.

It can be written as a sum of positive squares in 8 ways, for example, as 1223040784 + 3551683216 = 34972^2 + 59596^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543644 + ... + 552356.

Almost surely, 2^4774724000 is an apocalyptic number.

4774724000 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 4774724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909242248).

4774724000 is an abundant number, since it is smaller than the sum of its proper divisors (7043760496).

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

4774724000 is a wasteful number, since it uses less digits than its factorization.

4774724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8875 (or 8857 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 35.

The square root of 4774724000 is about 69099.3777106567. The cubic root of 4774724000 is about 1683.8992008845.

Adding to 4774724000 its reverse (4274774), we get a palindrome (4778998774).

The spelling of 4774724000 in words is "four billion, seven hundred seventy-four million, seven hundred twenty-four thousand".