4506656000 has 576 divisors, whose sum is σ = 14693253120. Its totient is φ = 1336320000.

The previous prime is 4506655997. The next prime is 4506656003. The reversal of 4506656000 is 6566054.

It is an interprime number because it is at equal distance from previous prime (4506655997) and next prime (4506656003).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4506656003) 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, 76383971 + ... + 76384029.

It is an arithmetic number, because the mean of its divisors is an integer number (25509120).

Almost surely, 2^4506656000 is an apocalyptic number.

4506656000 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 4506656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7346626560).

4506656000 is an abundant number, since it is smaller than the sum of its proper divisors (10186597120).

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

4506656000 is a wasteful number, since it uses less digits than its factorization.

4506656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 4506656000 is about 67131.6318884027. The cubic root of 4506656000 is about 1651.7772096651. Note that the first 3 decimals are identical.

The spelling of 4506656000 in words is "four billion, five hundred six million, six hundred fifty-six thousand".