5705878464 has 560 divisors, whose sum is σ = 20446715520. Its totient is φ = 1550223360.

The previous prime is 5705878459. The next prime is 5705878471. The reversal of 5705878464 is 4648785075.

5705878464 is a `hidden beast` number, since 57 + 0 + 587 + 8 + 4 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5705878464.

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 79 ways as a sum of consecutive naturals, for example, 31876327 + ... + 31876505.

It is an arithmetic number, because the mean of its divisors is an integer number (36511992).

Almost surely, 2^5705878464 is an apocalyptic number.

5705878464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5705878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223357760).

5705878464 is an abundant number, since it is smaller than the sum of its proper divisors (14740837056).

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

5705878464 is a wasteful number, since it uses less digits than its factorization.

5705878464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The square root of 5705878464 is about 75537.2653992716. The cubic root of 5705878464 is about 1786.9298582599.

The spelling of 5705878464 in words is "five billion, seven hundred five million, eight hundred seventy-eight thousand, four hundred sixty-four".