5640055660800 has 1296 divisors, whose sum is σ = 22894741309440. Its totient is φ = 1362355200000.

The previous prime is 5640055660781. The next prime is 5640055660807. The reversal of 5640055660800 is 80665500465.

It is a happy number.

5640055660800 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 0 + 5 + 566 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×5640055660800³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5640055660807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7510060425 + ... + 7510061175.

Almost surely, 2^{5640055660800} is an apocalyptic number.

5640055660800 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 5640055660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11447370654720).

5640055660800 is an abundant number, since it is smaller than the sum of its proper divisors (17254685648640).

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

5640055660800 is a wasteful number, since it uses less digits than its factorization.

5640055660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 5640055660800 in words is "five trillion, six hundred forty billion, fifty-five million, six hundred sixty thousand, eight hundred".