5649315840 has 720 divisors, whose sum is σ = 23724300600. Its totient is φ = 1281982464.

The previous prime is 5649315827. The next prime is 5649315853. The reversal of 5649315840 is 485139465.

5649315840 is a `hidden beast` number, since 5 + 6 + 493 + 158 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5649315827) and next prime (5649315853).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40642491 + ... + 40642629.

Almost surely, 2^5649315840 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 5649315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11862150300).

5649315840 is an abundant number, since it is smaller than the sum of its proper divisors (18074984760).

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

5649315840 is a wasteful number, since it uses less digits than its factorization.

5649315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5649315840 is about 75161.9307894628. The cubic root of 5649315840 is about 1781.0056010391.

It can be divided in two parts, 5649 and 315840, that added together give a square (321489 = 567²).

The spelling of 5649315840 in words is "five billion, six hundred forty-nine million, three hundred fifteen thousand, eight hundred forty".