5712638400 has 504 divisors, whose sum is σ = 24075542400. Its totient is φ = 1305123840.

The previous prime is 5712638383. The next prime is 5712638413. The reversal of 5712638400 is 48362175.

5712638400 is a `hidden beast` number, since 5 + 7 + 12 + 638 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2720551 + ... + 2722649.

Almost surely, 2^5712638400 is an apocalyptic number.

5712638400 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 5712638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12037771200).

5712638400 is an abundant number, since it is smaller than the sum of its proper divisors (18362904000).

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

5712638400 is a wasteful number, since it uses less digits than its factorization.

5712638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5712638400 is about 75581.9978566325. The cubic root of 5712638400 is about 1787.6352573413.

The spelling of 5712638400 in words is "five billion, seven hundred twelve million, six hundred thirty-eight thousand, four hundred".