4735918080 has 336 divisors, whose sum is σ = 17021281680. Its totient is φ = 1216610304.

The previous prime is 4735918049. The next prime is 4735918087. The reversal of 4735918080 is 808195374.

4735918080 is a `hidden beast` number, since 47 + 359 + 180 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4735918087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10690339 + ... + 10690781.

Almost surely, 2^4735918080 is an apocalyptic number.

4735918080 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 4735918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8510640840).

4735918080 is an abundant number, since it is smaller than the sum of its proper divisors (12285363600).

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

4735918080 is a wasteful number, since it uses less digits than its factorization.

4735918080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 4735918080 is about 68818.0069458568. The cubic root of 4735918080 is about 1679.3248988177.

It can be divided in two parts, 473591 and 8080, that added together give a triangular number (481671 = T₉₈₁).

The spelling of 4735918080 in words is "four billion, seven hundred thirty-five million, nine hundred eighteen thousand, eighty".