4745609856 has 320 divisors, whose sum is σ = 15379859880. Its totient is φ = 1443889152.

The previous prime is 4745609837. The next prime is 4745609867. The reversal of 4745609856 is 6589065474.

4745609856 is a `hidden beast` number, since 4 + 74 + 560 + 9 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4531982400 + 213627456 = 67320^2 + 14616^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 18465280 + ... + 18465536.

Almost surely, 2^4745609856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4745609856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689929940).

4745609856 is an abundant number, since it is smaller than the sum of its proper divisors (10634250024).

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

4745609856 is a wasteful number, since it uses less digits than its factorization.

4745609856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 4745609856 is about 68888.3869458416. The cubic root of 4745609856 is about 1680.4696646056.

It can be divided in two parts, 474560 and 9856, that added together give a square (484416 = 696²).

The spelling of 4745609856 in words is "four billion, seven hundred forty-five million, six hundred nine thousand, eight hundred fifty-six".