5705142768 has 320 divisors, whose sum is σ = 18754355200. Its totient is φ = 1646023680.

The previous prime is 5705142767. The next prime is 5705142803. The reversal of 5705142768 is 8672415075.

5705142768 is a `hidden beast` number, since 5 + 70 + 514 + 2 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5705142767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13551198 + ... + 13551618.

It is an arithmetic number, because the mean of its divisors is an integer number (58607360).

Almost surely, 2^5705142768 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 5705142768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377177600).

5705142768 is an abundant number, since it is smaller than the sum of its proper divisors (13049212432).

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

5705142768 is a wasteful number, since it uses less digits than its factorization.

5705142768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 5705142768 is about 75532.3954869697. The cubic root of 5705142768 is about 1786.8530547982.

The spelling of 5705142768 in words is "five billion, seven hundred five million, one hundred forty-two thousand, seven hundred sixty-eight".