5648797440 has 864 divisors, whose sum is σ = 23998980096. Its totient is φ = 1254113280.

The previous prime is 5648797433. The next prime is 5648797501. The reversal of 5648797440 is 447978465.

5648797440 is a `hidden beast` number, since 56 + 487 + 9 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44478657 + ... + 44478783.

Almost surely, 2^5648797440 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 5648797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999490048).

5648797440 is an abundant number, since it is smaller than the sum of its proper divisors (18350182656).

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

5648797440 is a wasteful number, since it uses less digits than its factorization.

5648797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 5648797440 is about 75158.4821560414. The cubic root of 5648797440 is about 1780.9511223746.

The spelling of 5648797440 in words is "five billion, six hundred forty-eight million, seven hundred ninety-seven thousand, four hundred forty".