4669632000 has 720 divisors, whose sum is σ = 18763080336. Its totient is φ = 1115136000.

The previous prime is 4669631977. The next prime is 4669632007. The reversal of 4669632000 is 2369664.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4669632007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69695967 + ... + 69696033.

Almost surely, 2^4669632000 is an apocalyptic number.

4669632000 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 4669632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9381540168).

4669632000 is an abundant number, since it is smaller than the sum of its proper divisors (14093448336).

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

4669632000 is a wasteful number, since it uses less digits than its factorization.

4669632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4669632000 is about 68334.7056772765. The cubic root of 4669632000 is about 1671.4531914598.

The spelling of 4669632000 in words is "four billion, six hundred sixty-nine million, six hundred thirty-two thousand".