5677511616 has 560 divisors, whose sum is σ = 20456550400. Its totient is φ = 1554577920.

The previous prime is 5677511603. The next prime is 5677511617. The reversal of 5677511616 is 6161157765.

5677511616 is a `hidden beast` number, since 5 + 6 + 77 + 511 + 61 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5677511617) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 55121421 + ... + 55121523.

Almost surely, 2^5677511616 is an apocalyptic number.

5677511616 is a gapful number since it is divisible by the number (56) 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 5677511616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10228275200).

5677511616 is an abundant number, since it is smaller than the sum of its proper divisors (14779038784).

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

5677511616 is a wasteful number, since it uses less digits than its factorization.

5677511616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 146 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The square root of 5677511616 is about 75349.2642034413. The cubic root of 5677511616 is about 1783.9636891267.

The spelling of 5677511616 in words is "five billion, six hundred seventy-seven million, five hundred eleven thousand, six hundred sixteen".