4753789040 has 640 divisors, whose sum is σ = 16198963200. Its totient is φ = 1248952320.

The previous prime is 4753789039. The next prime is 4753789081. The reversal of 4753789040 is 409873574.

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 127 ways as a sum of consecutive naturals, for example, 53413316 + ... + 53413404.

It is an arithmetic number, because the mean of its divisors is an integer number (25310880).

Almost surely, 2^4753789040 is an apocalyptic number.

4753789040 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 4753789040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8099481600).

4753789040 is an abundant number, since it is smaller than the sum of its proper divisors (11445174160).

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

4753789040 is a wasteful number, since it uses less digits than its factorization.

4753789040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The square root of 4753789040 is about 68947.7268660831. The cubic root of 4753789040 is about 1681.4345551054.

The spelling of 4753789040 in words is "four billion, seven hundred fifty-three million, seven hundred eighty-nine thousand, forty".