4735486080 has 192 divisors, whose sum is σ = 17610367320. Its totient is φ = 1165639680.

The previous prime is 4735486073. The next prime is 4735486097. The reversal of 4735486080 is 806845374.

4735486080 is a `hidden beast` number, since 4 + 7 + 35 + 4 + 8 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2470487616 + 2264998464 = 49704^2 + 47592^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 43260 + ... + 106500.

Almost surely, 2^4735486080 is an apocalyptic number.

4735486080 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 4735486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805183660).

4735486080 is an abundant number, since it is smaller than the sum of its proper divisors (12874881240).

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

4735486080 is a wasteful number, since it uses less digits than its factorization.

4735486080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63279 (or 63264 counting only the distinct ones).

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

The square root of 4735486080 is about 68814.8681608851. The cubic root of 4735486080 is about 1679.2738358275.

The spelling of 4735486080 in words is "four billion, seven hundred thirty-five million, four hundred eighty-six thousand, eighty".