4746608640 has 512 divisors, whose sum is σ = 17930376000. Its totient is φ = 1189085184.

The previous prime is 4746608627. The next prime is 4746608683. The reversal of 4746608640 is 468066474.

4746608640 is a `hidden beast` number, since 474 + 6 + 60 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128286702 + ... + 128286738.

Almost surely, 2^4746608640 is an apocalyptic number.

4746608640 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 4746608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8965188000).

4746608640 is an abundant number, since it is smaller than the sum of its proper divisors (13183767360).

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

4746608640 is an equidigital number, since it uses as much as digits as its factorization.

4746608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4746608640 is about 68895.6358559815. The cubic root of 4746608640 is about 1680.5875495932.

The spelling of 4746608640 in words is "four billion, seven hundred forty-six million, six hundred eight thousand, six hundred forty".