4648589568 has 288 divisors, whose sum is σ = 16257158400. Its totient is φ = 1281982464.

The previous prime is 4648589521. The next prime is 4648589587. The reversal of 4648589568 is 8659858464.

4648589568 is a `hidden beast` number, since 4 + 6 + 48 + 589 + 5 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1401480 + ... + 1404792.

Almost surely, 2^4648589568 is an apocalyptic number.

4648589568 is a gapful number since it is divisible by the number (48) 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 4648589568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128579200).

4648589568 is an abundant number, since it is smaller than the sum of its proper divisors (11608568832).

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

4648589568 is a wasteful number, since it uses less digits than its factorization.

4648589568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3354 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The square root of 4648589568 is about 68180.5659114091. The cubic root of 4648589568 is about 1668.9387604176.

The spelling of 4648589568 in words is "four billion, six hundred forty-eight million, five hundred eighty-nine thousand, five hundred sixty-eight".