4653792000 has 864 divisors, whose sum is σ = 19847370816. Its totient is φ = 1032192000.

The previous prime is 4653791993. The next prime is 4653792079. The reversal of 4653792000 is 2973564.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 41183944 + ... + 41184056.

It is an arithmetic number, because the mean of its divisors is an integer number (22971494).

Almost surely, 2^4653792000 is an apocalyptic number.

4653792000 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 4653792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9923685408).

4653792000 is an abundant number, since it is smaller than the sum of its proper divisors (15193578816).

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

4653792000 is a wasteful number, since it uses less digits than its factorization.

4653792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4653792000 is about 68218.7071117593. The cubic root of 4653792000 is about 1669.5611214800.

The spelling of 4653792000 in words is "four billion, six hundred fifty-three million, seven hundred ninety-two thousand".