4164751360 has 416 divisors, whose sum is σ = 13210444800. Its totient is φ = 1220935680.

The previous prime is 4164751333. The next prime is 4164751361. The reversal of 4164751360 is 631574614.

It is not an unprimeable number, because it can be changed into a prime (4164751361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29962171 + ... + 29962309.

Almost surely, 2^4164751360 is an apocalyptic number.

4164751360 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 4164751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605222400).

4164751360 is an abundant number, since it is smaller than the sum of its proper divisors (9045693440).

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

4164751360 is a wasteful number, since it uses less digits than its factorization.

4164751360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 4164751360 is about 64534.8848298345. The cubic root of 4164751360 is about 1608.9023754532.

The spelling of 4164751360 in words is "four billion, one hundred sixty-four million, seven hundred fifty-one thousand, three hundred sixty".