4706856000 has 896 divisors, whose sum is σ = 21606174720. Its totient is φ = 974592000.

The previous prime is 4706855983. The next prime is 4706856001. The reversal of 4706856000 is 6586074.

It is a happy number.

4706856000 is a `hidden beast` number, since 47 + 0 + 6 + 8 + 5 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4706856001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16631859 + ... + 16632141.

Almost surely, 2^4706856000 is an apocalyptic number.

4706856000 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 4706856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10803087360).

4706856000 is an abundant number, since it is smaller than the sum of its proper divisors (16899318720).

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

4706856000 is a wasteful number, since it uses less digits than its factorization.

4706856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4706856000 is about 68606.5303014225. The cubic root of 4706856000 is about 1675.8827751831.

The spelling of 4706856000 in words is "four billion, seven hundred six million, eight hundred fifty-six thousand".