4289262768 has 160 divisors (see below), whose sum is σ = 14811353600. Its totient is φ = 1160987904.

The previous prime is 4289262737. The next prime is 4289262773. The reversal of 4289262768 is 8672629824.

4289262768 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 2 + 627 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20130 + ... + 94782.

It is an arithmetic number, because the mean of its divisors is an integer number (92570960).

Almost surely, 2^4289262768 is an apocalyptic number.

4289262768 is a gapful number since it is divisible by the number (48) 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 4289262768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405676800).

4289262768 is an abundant number, since it is smaller than the sum of its proper divisors (10522090832).

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

4289262768 is a wasteful number, since it uses less digits than its factorization.

4289262768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74696 (or 74684 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 4289262768 is about 65492.4634442773. The cubic root of 4289262768 is about 1624.7787019195.

The spelling of 4289262768 in words is "four billion, two hundred eighty-nine million, two hundred sixty-two thousand, seven hundred sixty-eight".