5677351680 has 864 divisors, whose sum is σ = 24897293568. Its totient is φ = 1083801600.

The previous prime is 5677351661. The next prime is 5677351709. The reversal of 5677351680 is 861537765.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 95 ways as a sum of consecutive naturals, for example, 26906775 + ... + 26906985.

It is an arithmetic number, because the mean of its divisors is an integer number (28816312).

Almost surely, 2^5677351680 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 5677351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12448646784).

5677351680 is an abundant number, since it is smaller than the sum of its proper divisors (19219941888).

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

5677351680 is a wasteful number, since it uses less digits than its factorization.

5677351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The square root of 5677351680 is about 75348.2028982775. The cubic root of 5677351680 is about 1783.9469374982.

The spelling of 5677351680 in words is "five billion, six hundred seventy-seven million, three hundred fifty-one thousand, six hundred eighty".