5756487576840 has 3072 divisors, whose sum is σ = 28070151782400. Its totient is φ = 983583129600.

The previous prime is 5756487576823. The next prime is 5756487576869. The reversal of 5756487576840 is 486757846575.

5756487576840 is a `hidden beast` number, since 5 + 7 + 5 + 6 + 4 + 8 + 7 + 576 + 8 + 40 = 666.

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

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 767 ways as a sum of consecutive naturals, for example, 7853325114 + ... + 7853325846.

It is an arithmetic number, because the mean of its divisors is an integer number (9137419200).

Almost surely, 2^{5756487576840} 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 5756487576840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14035075891200).

5756487576840 is an abundant number, since it is smaller than the sum of its proper divisors (22313664205560).

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

5756487576840 is a wasteful number, since it uses less digits than its factorization.

5756487576840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1580544000, while the sum is 72.

The spelling of 5756487576840 in words is "five trillion, seven hundred fifty-six billion, four hundred eighty-seven million, five hundred seventy-six thousand, eight hundred forty".