5876766720 has 864 divisors, whose sum is σ = 24469361280. Its totient is φ = 1297612800.

The previous prime is 5876766713. The next prime is 5876766733. The reversal of 5876766720 is 276676785.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 189573105 + ... + 189573135.

It is an arithmetic number, because the mean of its divisors is an integer number (28321020).

Almost surely, 2^5876766720 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 5876766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12234680640).

5876766720 is an abundant number, since it is smaller than the sum of its proper divisors (18592594560).

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

5876766720 is a wasteful number, since it uses less digits than its factorization.

5876766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 5876766720 is about 76660.0725280116. The cubic root of 5876766720 is about 1804.5938952811.

The spelling of 5876766720 in words is "five billion, eight hundred seventy-six million, seven hundred sixty-six thousand, seven hundred twenty".