4635792000 has 960 divisors, whose sum is σ = 20302836840. Its totient is φ = 1045094400.

The previous prime is 4635791989. The next prime is 4635792019. The reversal of 4635792000 is 2975364.

4635792000 is a `hidden beast` number, since 4 + 63 + 579 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1506060864 + 3129731136 = 38808^2 + 55944^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 63503964 + ... + 63504036.

Almost surely, 2^4635792000 is an apocalyptic number.

4635792000 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 4635792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10151418420).

4635792000 is an abundant number, since it is smaller than the sum of its proper divisors (15667044840).

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

4635792000 is an equidigital number, since it uses as much as digits as its factorization.

4635792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

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

The square root of 4635792000 is about 68086.6506739757. The cubic root of 4635792000 is about 1667.4058232512.

The spelling of 4635792000 in words is "four billion, six hundred thirty-five million, seven hundred ninety-two thousand".