4633522080 has 192 divisors, whose sum is σ = 15966720000. Its totient is φ = 1120158720.

The previous prime is 4633522079. The next prime is 4633522121. The reversal of 4633522080 is 802253364.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2316921 + ... + 2318919.

It is an arithmetic number, because the mean of its divisors is an integer number (83160000).

Almost surely, 2^4633522080 is an apocalyptic number.

4633522080 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 4633522080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360000).

4633522080 is an abundant number, since it is smaller than the sum of its proper divisors (11333197920).

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

4633522080 is a wasteful number, since it uses less digits than its factorization.

4633522080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4633522080 is about 68069.9792860259. The cubic root of 4633522080 is about 1667.1336298661.

The spelling of 4633522080 in words is "four billion, six hundred thirty-three million, five hundred twenty-two thousand, eighty".