4601661064 has 128 divisors (see below), whose sum is σ = 11621594880. Its totient is φ = 1649664000.

The previous prime is 4601661059. The next prime is 4601661067.

4601661064 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4601661064³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4601661067) 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 31 ways as a sum of consecutive naturals, for example, 3210492 + ... + 3211924.

It is an arithmetic number, because the mean of its divisors is an integer number (90793710).

Almost surely, 2^4601661064 is an apocalyptic number.

4601661064 is a gapful number since it is divisible by the number (44) 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 4601661064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810797440).

4601661064 is an abundant number, since it is smaller than the sum of its proper divisors (7019933816).

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

4601661064 is a wasteful number, since it uses less digits than its factorization.

4601661064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 4601661064 is about 67835.5442522576. The cubic root of 4601661064 is about 1663.3036574568.

The spelling of 4601661064 in words is "four billion, six hundred one million, six hundred sixty-one thousand, sixty-four".