4787735040 has 400 divisors, whose sum is σ = 18715989600. Its totient is φ = 1160110080.

The previous prime is 4787735033. The next prime is 4787735093. The reversal of 4787735040 is 405377874.

4787735040 is a `hidden beast` number, since 4 + 78 + 7 + 73 + 504 + 0 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 2279911 + ... + 2282009.

It is an arithmetic number, because the mean of its divisors is an integer number (46789974).

Almost surely, 2^4787735040 is an apocalyptic number.

4787735040 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 4787735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357994800).

4787735040 is an abundant number, since it is smaller than the sum of its proper divisors (13928254560).

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

4787735040 is a wasteful number, since it uses less digits than its factorization.

4787735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 4787735040 is about 69193.4609627239. The cubic root of 4787735040 is about 1685.4273456966.

The spelling of 4787735040 in words is "four billion, seven hundred eighty-seven million, seven hundred thirty-five thousand, forty".