4705263360 has 864 divisors, whose sum is σ = 20356277760. Its totient is φ = 979402752.

The previous prime is 4705263313. The next prime is 4705263377. The reversal of 4705263360 is 633625074.

4705263360 is a `hidden beast` number, since 4 + 70 + 526 + 3 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 56689879 + ... + 56689961.

Almost surely, 2^4705263360 is an apocalyptic number.

4705263360 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 4705263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10178138880).

4705263360 is an abundant number, since it is smaller than the sum of its proper divisors (15651014400).

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

4705263360 is a wasteful number, since it uses less digits than its factorization.

4705263360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 4705263360 is about 68594.9222610537. The cubic root of 4705263360 is about 1675.6937332805.

The spelling of 4705263360 in words is "four billion, seven hundred five million, two hundred sixty-three thousand, three hundred sixty".