4656322000 has 240 divisors, whose sum is σ = 12596193792. Its totient is φ = 1663200000.

The previous prime is 4656321977. The next prime is 4656322057. The reversal of 4656322000 is 2236564.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4656322000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17181865 + ... + 17182135.

Almost surely, 2^4656322000 is an apocalyptic number.

4656322000 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 4656322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298096896).

4656322000 is an abundant number, since it is smaller than the sum of its proper divisors (7939871792).

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

4656322000 is a wasteful number, since it uses less digits than its factorization.

4656322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 4656322000 is about 68237.2478929214. The cubic root of 4656322000 is about 1669.8636149034.

Adding to 4656322000 its reverse (2236564), we get a palindrome (4658558564).

The spelling of 4656322000 in words is "four billion, six hundred fifty-six million, three hundred twenty-two thousand".