5687075487744 has 960 divisors, whose sum is σ = 20201248704000. Its totient is φ = 1579402395648.

The previous prime is 5687075487739. The next prime is 5687075487811. The reversal of 5687075487744 is 4477845707865.

5687075487744 is a `hidden beast` number, since 5 + 6 + 8 + 7 + 0 + 7 + 548 + 7 + 74 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5614091782 + ... + 5614092794.

It is an arithmetic number, because the mean of its divisors is an integer number (21042967400).

Almost surely, 2^{5687075487744} is an apocalyptic number.

5687075487744 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5687075487744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100624352000).

5687075487744 is an abundant number, since it is smaller than the sum of its proper divisors (14514173216256).

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

5687075487744 is an equidigital number, since it uses as much as digits as its factorization.

5687075487744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 1475174400, while the sum is 72.

The spelling of 5687075487744 in words is "five trillion, six hundred eighty-seven billion, seventy-five million, four hundred eighty-seven thousand, seven hundred forty-four".