4735883760 has 320 divisors, whose sum is σ = 16093969920. Its totient is φ = 1147944960.

The previous prime is 4735883759. The next prime is 4735883791. The reversal of 4735883760 is 673885374.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13647907 + ... + 13648253.

It is an arithmetic number, because the mean of its divisors is an integer number (50293656).

Almost surely, 2^4735883760 is an apocalyptic number.

4735883760 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 4735883760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8046984960).

4735883760 is an abundant number, since it is smaller than the sum of its proper divisors (11358086160).

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

4735883760 is a wasteful number, since it uses less digits than its factorization.

4735883760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The square root of 4735883760 is about 68817.7575920634. The cubic root of 4735883760 is about 1679.3208422604.

The spelling of 4735883760 in words is "four billion, seven hundred thirty-five million, eight hundred eighty-three thousand, seven hundred sixty".