5642524800 has 480 divisors, whose sum is σ = 22726558800. Its totient is φ = 1367193600.

The previous prime is 5642524763. The next prime is 5642524813. The reversal of 5642524800 is 84252465.

It is a happy number.

5642524800 is a `hidden beast` number, since 5 + 642 + 5 + 2 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5642524800² = 63676172237230080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2850211 + ... + 2852189.

Almost surely, 2^5642524800 is an apocalyptic number.

5642524800 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 5642524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11363279400).

5642524800 is an abundant number, since it is smaller than the sum of its proper divisors (17084034000).

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

5642524800 is a wasteful number, since it uses less digits than its factorization.

5642524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5642524800 is about 75116.7411433696. The cubic root of 5642524800 is about 1780.2916662149.

It can be divided in two parts, 56425 and 24800, that added together give a square (81225 = 285²).

The spelling of 5642524800 in words is "five billion, six hundred forty-two million, five hundred twenty-four thousand, eight hundred".