4198766352 has 160 divisors (see below), whose sum is σ = 12573480960. Its totient is φ = 1193256960.

The previous prime is 4198766323. The next prime is 4198766353. The reversal of 4198766352 is 2536678914.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (2177280) is a multiple of the sum of its prime factors (1701).

It is a junction number, because it is equal to n+sod(n) for n = 4198766295 and 4198766304.

It is not an unprimeable number, because it can be changed into a prime (4198766353) 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 31 ways as a sum of consecutive naturals, for example, 3221733 + ... + 3223035.

It is an arithmetic number, because the mean of its divisors is an integer number (78584256).

Almost surely, 2^4198766352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198766352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286740480).

4198766352 is an abundant number, since it is smaller than the sum of its proper divisors (8374714608).

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

4198766352 is a wasteful number, since it uses less digits than its factorization.

4198766352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1695 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 4198766352 is about 64797.8884841165. Note that the first 3 decimals coincide. The cubic root of 4198766352 is about 1613.2706620617.

The spelling of 4198766352 in words is "four billion, one hundred ninety-eight million, seven hundred sixty-six thousand, three hundred fifty-two".