5649332981760 has 1664 divisors, whose sum is σ = 23081289154560. Its totient is φ = 1300052312064.

The previous prime is 5649332981759. The next prime is 5649332981909. The reversal of 5649332981760 is 671892339465.

5649332981760 is a `hidden beast` number, since 5 + 6 + 49 + 332 + 98 + 176 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7770746517 + ... + 7770747243.

It is an arithmetic number, because the mean of its divisors is an integer number (13870967040).

It is a 1-persistent number, because it is pandigital, but 2⋅5649332981760 = 11298665963520 is not.

Almost surely, 2^{5649332981760} 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 5649332981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11540644577280).

5649332981760 is an abundant number, since it is smaller than the sum of its proper divisors (17431956172800).

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

5649332981760 is a wasteful number, since it uses less digits than its factorization.

5649332981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 5649332981760 in words is "five trillion, six hundred forty-nine billion, three hundred thirty-two million, nine hundred eighty-one thousand, seven hundred sixty".