5600046896640 has 1920 divisors, whose sum is σ = 23754501936000. Its totient is φ = 1262139604992.

The previous prime is 5600046896569. The next prime is 5600046896641. The reversal of 5600046896640 is 466986400065.

5600046896640 is a `hidden beast` number, since 56 + 0 + 0 + 0 + 468 + 96 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5600046896641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37584207286 + ... + 37584207434.

It is an arithmetic number, because the mean of its divisors is an integer number (12372136425).

Almost surely, 2^{5600046896640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5600046896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11877250968000).

5600046896640 is an abundant number, since it is smaller than the sum of its proper divisors (18154455039360).

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

5600046896640 is an equidigital number, since it uses as much as digits as its factorization.

5600046896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 5600046896640 in words is "five trillion, six hundred billion, forty-six million, eight hundred ninety-six thousand, six hundred forty".