4561868160 has 192 divisors, whose sum is σ = 16336691280. Its totient is φ = 1216456704.

The previous prime is 4561868153. The next prime is 4561868177. The reversal of 4561868160 is 618681654.

4561868160 is a `hidden beast` number, since 4 + 561 + 8 + 6 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4561868160² = 41621282218443571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140854 + ... + 170186.

Almost surely, 2^4561868160 is an apocalyptic number.

4561868160 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 4561868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8168345640).

4561868160 is an abundant number, since it is smaller than the sum of its proper divisors (11774823120).

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

4561868160 is an equidigital number, since it uses as much as digits as its factorization.

4561868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29367 (or 29343 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4561868160 is about 67541.6031790777. The cubic root of 4561868160 is about 1658.4952929760.

The spelling of 4561868160 in words is "four billion, five hundred sixty-one million, eight hundred sixty-eight thousand, one hundred sixty".