5649970008480 has 768 divisors, whose sum is σ = 21304458362880. Its totient is φ = 1231724003328.

The previous prime is 5649970008451. The next prime is 5649970008481. The reversal of 5649970008480 is 848000799465.

It is a super-2 number, since 2×5649970008480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (5649970008481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4597208506 + ... + 4597209734.

It is an arithmetic number, because the mean of its divisors is an integer number (27740180160).

Almost surely, 2^{5649970008480} 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 5649970008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10652229181440).

5649970008480 is an abundant number, since it is smaller than the sum of its proper divisors (15654488354400).

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

5649970008480 is a wasteful number, since it uses less digits than its factorization.

5649970008480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 5649970008480 in words is "five trillion, six hundred forty-nine billion, nine hundred seventy million, eight thousand, four hundred eighty".