5649787765440 has 1120 divisors, whose sum is σ = 25533362663424. Its totient is φ = 1153575198720.

The previous prime is 5649787765403. The next prime is 5649787765451. The reversal of 5649787765440 is 445677879465.

5649787765440 is a `hidden beast` number, since 5 + 6 + 4 + 9 + 7 + 8 + 7 + 76 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 73081687 + ... + 73158953.

Almost surely, 2^{5649787765440} 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 5649787765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12766681331712).

5649787765440 is an abundant number, since it is smaller than the sum of its proper divisors (19883574897984).

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

5649787765440 is a wasteful number, since it uses less digits than its factorization.

5649787765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77347 (or 77328 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 5649787765440 in words is "five trillion, six hundred forty-nine billion, seven hundred eighty-seven million, seven hundred sixty-five thousand, four hundred forty".