5677801920 has 896 divisors, whose sum is σ = 24793651200. Its totient is φ = 1209323520.

The previous prime is 5677801867. The next prime is 5677801937. The reversal of 5677801920 is 291087765.

5677801920 is a `hidden beast` number, since 567 + 7 + 80 + 1 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93078690 + ... + 93078750.

It is a vampire number, since it can be written as 71820 ⋅ 79056 (with its own digits).

Almost surely, 2^5677801920 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 5677801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12396825600).

5677801920 is an abundant number, since it is smaller than the sum of its proper divisors (19115849280).

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

5677801920 is an equidigital number, since it uses as much as digits as its factorization.

5677801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 5677801920 is about 75351.1905679001. The cubic root of 5677801920 is about 1783.9940946402.

The spelling of 5677801920 in words is "five billion, six hundred seventy-seven million, eight hundred one thousand, nine hundred twenty".