5136768000 has 1056 divisors, whose sum is σ = 23247369600. Its totient is φ = 1083801600.

The previous prime is 5136767969. The next prime is 5136768001. The reversal of 5136768000 is 8676315.

5136768000 is a `hidden beast` number, since 513 + 67 + 6 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5136768001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395135994 + ... + 395136006.

Almost surely, 2^5136768000 is an apocalyptic number.

5136768000 is a gapful number since it is divisible by the number (50) 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 5136768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11623684800).

5136768000 is an abundant number, since it is smaller than the sum of its proper divisors (18110601600).

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

5136768000 is a wasteful number, since it uses less digits than its factorization.

5136768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5136768000 is about 71671.2494658772. The cubic root of 5136768000 is about 1725.4272413697.

The spelling of 5136768000 in words is "five billion, one hundred thirty-six million, seven hundred sixty-eight thousand".