5649256995840 has 528 divisors, whose sum is σ = 20291734794240. Its totient is φ = 1451685150720.

The previous prime is 5649256995827. The next prime is 5649256995841. The reversal of 5649256995840 is 485996529465.

It is a happy number.

5649256995840 is a `hidden beast` number, since 5 + 6 + 4 + 9 + 2 + 569 + 9 + 58 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5649256995841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341398447 + ... + 341414993.

Almost surely, 2^{5649256995840} 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 5649256995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10145867397120).

5649256995840 is an abundant number, since it is smaller than the sum of its proper divisors (14642477798400).

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

5649256995840 is a wasteful number, since it uses less digits than its factorization.

5649256995840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16848 (or 16827 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 72.

The spelling of 5649256995840 in words is "five trillion, six hundred forty-nine billion, two hundred fifty-six million, nine hundred ninety-five thousand, eight hundred forty".