5761606680 has 512 divisors, whose sum is σ = 21499084800. Its totient is φ = 1365811200.

The previous prime is 5761606633. The next prime is 5761606717. The reversal of 5761606680 is 866061675.

5761606680 is a `hidden beast` number, since 576 + 16 + 0 + 6 + 68 + 0 = 666.

It is a super-2 number, since 2×5761606680² = 66392223070041244800, which contains 22 as substring.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30165385 + ... + 30165575.

It is an arithmetic number, because the mean of its divisors is an integer number (41990400).

Almost surely, 2^5761606680 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 5761606680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10749542400).

5761606680 is an abundant number, since it is smaller than the sum of its proper divisors (15737478120).

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

5761606680 is a wasteful number, since it uses less digits than its factorization.

5761606680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5761606680 is about 75905.2480399083. The cubic root of 5761606680 is about 1792.7285540399.

The spelling of 5761606680 in words is "five billion, seven hundred sixty-one million, six hundred six thousand, six hundred eighty".