4693248000 has 768 divisors, whose sum is σ = 20033395200. Its totient is φ = 1061683200.

The previous prime is 4693247981. The next prime is 4693248047. The reversal of 4693248000 is 8423964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 48383952 + ... + 48384048.

It is an arithmetic number, because the mean of its divisors is an integer number (26085150).

Almost surely, 2^4693248000 is an apocalyptic number.

4693248000 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 4693248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016697600).

4693248000 is an abundant number, since it is smaller than the sum of its proper divisors (15340147200).

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

4693248000 is an equidigital number, since it uses as much as digits as its factorization.

4693248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4693248000 is about 68507.2842842278. The cubic root of 4693248000 is about 1674.2661670012.

The spelling of 4693248000 in words is "four billion, six hundred ninety-three million, two hundred forty-eight thousand".