4491564000 has 384 divisors, whose sum is σ = 18348954624. Its totient is φ = 933120000.

The previous prime is 4491563987. The next prime is 4491564001. The reversal of 4491564000 is 4651944.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4491564001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 921570 + ... + 926430.

It is an arithmetic number, because the mean of its divisors is an integer number (47783736).

Almost surely, 2^4491564000 is an apocalyptic number.

4491564000 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 4491564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174477312).

4491564000 is an abundant number, since it is smaller than the sum of its proper divisors (13857390624).

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

4491564000 is a wasteful number, since it uses less digits than its factorization.

4491564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4907 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4491564000 is about 67019.1315968806. The cubic root of 4491564000 is about 1649.9313102718.

The spelling of 4491564000 in words is "four billion, four hundred ninety-one million, five hundred sixty-four thousand".