5640555110400 has 2268 divisors, whose sum is σ = 24948679102542. Its totient is φ = 1214353244160.

The previous prime is 5640555110387. The next prime is 5640555110447. The reversal of 5640555110400 is 40115550465.

5640555110400 is a `hidden beast` number, since 5 + 64 + 0 + 5 + 551 + 1 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5165183471616 + 475371638784 = 2272704^2 + 689472^2 .

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 161 ways as a sum of consecutive naturals, for example, 32604364714 + ... + 32604364886.

Almost surely, 2^{5640555110400} is an apocalyptic number.

5640555110400 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 5640555110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12474339551271).

5640555110400 is an abundant number, since it is smaller than the sum of its proper divisors (19308123992142).

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

5640555110400 is a wasteful number, since it uses less digits than its factorization.

5640555110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 5640555110400 in words is "five trillion, six hundred forty billion, five hundred fifty-five million, one hundred ten thousand, four hundred".