4161564000 has 768 divisors, whose sum is σ = 17209221120. Its totient is φ = 967680000.

The previous prime is 4161563993. The next prime is 4161564023. The reversal of 4161564000 is 4651614.

4161564000 is a `hidden beast` number, since 4 + 1 + 6 + 15 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×4161564000² = 34637229852192000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36827944 + ... + 36828056.

It is an arithmetic number, because the mean of its divisors is an integer number (22407840).

Almost surely, 2^4161564000 is an apocalyptic number.

4161564000 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 4161564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8604610560).

4161564000 is an abundant number, since it is smaller than the sum of its proper divisors (13047657120).

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

4161564000 is a wasteful number, since it uses less digits than its factorization.

4161564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4161564000 is about 64510.1852423321. The cubic root of 4161564000 is about 1608.4918299479.

The spelling of 4161564000 in words is "four billion, one hundred sixty-one million, five hundred sixty-four thousand".