4788635040 has 288 divisors, whose sum is σ = 18755283456. Its totient is φ = 1089884160.

The previous prime is 4788635039. The next prime is 4788635051. The reversal of 4788635040 is 405368874.

4788635040 is a `hidden beast` number, since 4 + 7 + 8 + 8 + 635 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2730804 + ... + 2732556.

It is an arithmetic number, because the mean of its divisors is an integer number (65122512).

Almost surely, 2^4788635040 is an apocalyptic number.

4788635040 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 4788635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377641728).

4788635040 is an abundant number, since it is smaller than the sum of its proper divisors (13966648416).

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

4788635040 is a wasteful number, since it uses less digits than its factorization.

4788635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4788635040 is about 69199.9641618404. The cubic root of 4788635040 is about 1685.5329481411.

The spelling of 4788635040 in words is "four billion, seven hundred eighty-eight million, six hundred thirty-five thousand, forty".