4605901664 has 216 divisors, whose sum is σ = 11949024528. Its totient is φ = 1710858240.

The previous prime is 4605901649. The next prime is 4605901669. The reversal of 4605901664 is 4661095064.

It is a super-3 number, since 3×4605901664³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4605901669) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 10940174 + ... + 10940594.

It is an arithmetic number, because the mean of its divisors is an integer number (55319558).

Almost surely, 2^4605901664 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 4605901664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974512264).

4605901664 is an abundant number, since it is smaller than the sum of its proper divisors (7343122864).

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

4605901664 is a wasteful number, since it uses less digits than its factorization.

4605901664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 4605901664 is about 67866.7935296784. The cubic root of 4605901664 is about 1663.8144324315.

The spelling of 4605901664 in words is "four billion, six hundred five million, nine hundred one thousand, six hundred sixty-four".