56765840040 has 768 divisors, whose sum is σ = 243702950400. Its totient is φ = 11558744064.

The previous prime is 56765839997. The next prime is 56765840051. The reversal of 56765840040 is 4004856765.

56765840040 is a `hidden beast` number, since 5 + 67 + 6 + 584 + 0 + 0 + 4 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 25649974 + ... + 25652186.

It is an arithmetic number, because the mean of its divisors is an integer number (317321550).

Almost surely, 2^56765840040 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 56765840040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121851475200).

56765840040 is an abundant number, since it is smaller than the sum of its proper divisors (186937110360).

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

56765840040 is a wasteful number, since it uses less digits than its factorization.

56765840040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 56765840040 in words is "fifty-six billion, seven hundred sixty-five million, eight hundred forty thousand, forty".