5680387440 has 960 divisors, whose sum is σ = 25781683200. Its totient is φ = 1135420416.

The previous prime is 5680387439. The next prime is 5680387451. The reversal of 5680387440 is 447830865.

5680387440 is a `hidden beast` number, since 56 + 80 + 3 + 87 + 440 = 666.

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 191 ways as a sum of consecutive naturals, for example, 298967751 + ... + 298967769.

It is an arithmetic number, because the mean of its divisors is an integer number (26855920).

Almost surely, 2^5680387440 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 5680387440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12890841600).

5680387440 is an abundant number, since it is smaller than the sum of its proper divisors (20101295760).

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

5680387440 is a wasteful number, since it uses less digits than its factorization.

5680387440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5680387440 is about 75368.3450793501. The cubic root of 5680387440 is about 1784.2648480355.

The spelling of 5680387440 in words is "five billion, six hundred eighty million, three hundred eighty-seven thousand, four hundred forty".