5611766670336 has 704 divisors, whose sum is σ = 16801115719680. Its totient is φ = 1657181306880.

The previous prime is 5611766670329. The next prime is 5611766670397. The reversal of 5611766670336 is 6330766671165.

It is a super-2 number, since 2×5611766670336² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 63 ways as a sum of consecutive naturals, for example, 16953977691 + ... + 16953978021.

Almost surely, 2^{5611766670336} 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 5611766670336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400557859840).

5611766670336 is an abundant number, since it is smaller than the sum of its proper divisors (11189349049344).

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

5611766670336 is a wasteful number, since it uses less digits than its factorization.

5611766670336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 57.

The spelling of 5611766670336 in words is "five trillion, six hundred eleven billion, seven hundred sixty-six million, six hundred seventy thousand, three hundred thirty-six".