4633016160 has 96 divisors (see below), whose sum is σ = 14606065152. Its totient is φ = 1234449920.

The previous prime is 4633016099. The next prime is 4633016173. The reversal of 4633016160 is 616103364.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4633016160² = 42929677477642291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 710515 + ... + 717005.

It is an arithmetic number, because the mean of its divisors is an integer number (152146512).

Almost surely, 2^4633016160 is an apocalyptic number.

4633016160 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 4633016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7303032576).

4633016160 is an abundant number, since it is smaller than the sum of its proper divisors (9973048992).

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

4633016160 is a wasteful number, since it uses less digits than its factorization.

4633016160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7996 (or 7988 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 4633016160 is about 68066.2630089239. The cubic root of 4633016160 is about 1667.0729512628.

The spelling of 4633016160 in words is "four billion, six hundred thirty-three million, sixteen thousand, one hundred sixty".