5236963200 has 576 divisors, whose sum is σ = 22312969200. Its totient is φ = 1196052480.

The previous prime is 5236963189. The next prime is 5236963201. The reversal of 5236963200 is 23696325.

5236963200 = 61³ + 62³ + ... + 380³.

It is a tau number, because it is divible by the number of its divisors (576).

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 (5236963201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4232982 + ... + 4234218.

Almost surely, 2^5236963200 is an apocalyptic number.

5236963200 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 5236963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11156484600).

5236963200 is an abundant number, since it is smaller than the sum of its proper divisors (17076006000).

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

5236963200 is a wasteful number, since it uses less digits than its factorization.

5236963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 5236963200 is about 72366.8653459579. The cubic root of 5236963200 is about 1736.5735184502.

The spelling of 5236963200 in words is "five billion, two hundred thirty-six million, nine hundred sixty-three thousand, two hundred".