4236968736 has 960 divisors, whose sum is σ = 17703899136. Its totient is φ = 958003200.

The previous prime is 4236968731. The next prime is 4236968761. The reversal of 4236968736 is 6378696324.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4236968731) 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 159 ways as a sum of consecutive naturals, for example, 59675581 + ... + 59675651.

Almost surely, 2^4236968736 is an apocalyptic number.

4236968736 is a gapful number since it is divisible by the number (46) 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 4236968736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8851949568).

4236968736 is an abundant number, since it is smaller than the sum of its proper divisors (13466930400).

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

4236968736 is a wasteful number, since it uses less digits than its factorization.

4236968736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 4236968736 is about 65092.0020893504. The cubic root of 4236968736 is about 1618.1486669990.

The spelling of 4236968736 in words is "four billion, two hundred thirty-six million, nine hundred sixty-eight thousand, seven hundred thirty-six".