4706335872 has 320 divisors, whose sum is σ = 16854235200. Its totient is φ = 1273522176.

The previous prime is 4706335861. The next prime is 4706335883. The reversal of 4706335872 is 2785336074.

4706335872 is a `hidden beast` number, since 4 + 7 + 0 + 63 + 3 + 587 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4706335861) and next prime (4706335883).

It is a super-3 number, since 3×4706335872³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1377238 + ... + 1380650.

It is an arithmetic number, because the mean of its divisors is an integer number (52669485).

Almost surely, 2^4706335872 is an apocalyptic number.

4706335872 is a gapful number since it is divisible by the number (42) 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 4706335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427117600).

4706335872 is an abundant number, since it is smaller than the sum of its proper divisors (12147899328).

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

4706335872 is a wasteful number, since it uses less digits than its factorization.

4706335872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4706335872 is about 68602.7395371351. The cubic root of 4706335872 is about 1675.8210421377.

The spelling of 4706335872 in words is "four billion, seven hundred six million, three hundred thirty-five thousand, eight hundred seventy-two".