5640213600 has 648 divisors, whose sum is σ = 24058694520. Its totient is φ = 1271531520.

The previous prime is 5640213587. The next prime is 5640213647. The reversal of 5640213600 is 63120465.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5640213600 is a `hidden beast` number, since 5 + 6 + 40 + 2 + 13 + 600 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 77263164 + ... + 77263236.

It is an arithmetic number, because the mean of its divisors is an integer number (37127615).

Almost surely, 2^5640213600 is an apocalyptic number.

5640213600 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 5640213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029347260).

5640213600 is an abundant number, since it is smaller than the sum of its proper divisors (18418480920).

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

5640213600 is a wasteful number, since it uses less digits than its factorization.

5640213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5640213600 is about 75101.3555137322. The cubic root of 5640213600 is about 1780.0485615670.

The spelling of 5640213600 in words is "five billion, six hundred forty million, two hundred thirteen thousand, six hundred".