4641774336 has 432 divisors, whose sum is σ = 14999362560. Its totient is φ = 1428295680.

The previous prime is 4641774331. The next prime is 4641774341. The reversal of 4641774336 is 6334771464.

4641774336 is a `hidden beast` number, since 46 + 4 + 177 + 433 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4641774331) and next prime (4641774341).

It is a tau number, because it is divible by the number of its divisors (432).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4641774291 and 4641774300.

It is not an unprimeable number, because it can be changed into a prime (4641774331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55924951 + ... + 55925033.

Almost surely, 2^4641774336 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 4641774336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499681280).

4641774336 is an abundant number, since it is smaller than the sum of its proper divisors (10357588224).

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

4641774336 is an equidigital number, since it uses as much as digits as its factorization.

4641774336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 148 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 4641774336 is about 68130.5682935347. The cubic root of 4641774336 is about 1668.1227589378.

The spelling of 4641774336 in words is "four billion, six hundred forty-one million, seven hundred seventy-four thousand, three hundred thirty-six".