4235856768 has 320 divisors, whose sum is σ = 14814843120. Its totient is φ = 1184440320.

The previous prime is 4235856761. The next prime is 4235856773. The reversal of 4235856768 is 8676585324.

4235856768 is a `hidden beast` number, since 4 + 23 + 58 + 567 + 6 + 8 = 666.

It is a super-2 number, since 2×4235856768² = 35884965118022811648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4235856761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1481196 + ... + 1484052.

Almost surely, 2^4235856768 is an apocalyptic number.

4235856768 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 4235856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7407421560).

4235856768 is an abundant number, since it is smaller than the sum of its proper divisors (10578986352).

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

4235856768 is a wasteful number, since it uses less digits than its factorization.

4235856768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2886 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 4235856768 is about 65083.4600186560. The cubic root of 4235856768 is about 1618.0070966862.

The spelling of 4235856768 in words is "four billion, two hundred thirty-five million, eight hundred fifty-six thousand, seven hundred sixty-eight".