5767607034882 has 504 divisors, whose sum is σ = 16676105430348. Its totient is φ = 1489886576640.

The previous prime is 5767607034877. The next prime is 5767607034919. The reversal of 5767607034882 is 2884307067675.

It can be written as a sum of positive squares in 2 ways, for example, as 4594373615601 + 1173233419281 = 2143449^2 + 1083159^2 .

It is a super-3 number, since 3×5767607034882³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1668383298 + ... + 1668386754.

Almost surely, 2^{5767607034882} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5767607034882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8338052715174).

5767607034882 is an abundant number, since it is smaller than the sum of its proper divisors (10908498395466).

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

5767607034882 is a wasteful number, since it uses less digits than its factorization.

5767607034882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 5767607034882 in words is "five trillion, seven hundred sixty-seven billion, six hundred seven million, thirty-four thousand, eight hundred eighty-two".