4649596560 has 320 divisors, whose sum is σ = 19380902400. Its totient is φ = 1000194048.

The previous prime is 4649596547. The next prime is 4649596591. The reversal of 4649596560 is 656959464.

4649596560 is a `hidden beast` number, since 4 + 6 + 49 + 596 + 5 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4649596497 and 4649596506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247996 + ... + 266084.

It is an arithmetic number, because the mean of its divisors is an integer number (60565320).

Almost surely, 2^4649596560 is an apocalyptic number.

4649596560 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 4649596560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9690451200).

4649596560 is an abundant number, since it is smaller than the sum of its proper divisors (14731305840).

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

4649596560 is a wasteful number, since it uses less digits than its factorization.

4649596560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18135 (or 18123 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The square root of 4649596560 is about 68187.9502551587. The cubic root of 4649596560 is about 1669.0592619602.

The spelling of 4649596560 in words is "four billion, six hundred forty-nine million, five hundred ninety-six thousand, five hundred sixty".