5709809664 has 384 divisors, whose sum is σ = 18712512000. Its totient is φ = 1719484416.

The previous prime is 5709809627. The next prime is 5709809671. The reversal of 5709809664 is 4669089075.

5709809664 is a `hidden beast` number, since 570 + 9 + 8 + 0 + 9 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 5709809664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121485289 + ... + 121485335.

It is an arithmetic number, because the mean of its divisors is an integer number (48730500).

Almost surely, 2^5709809664 is an apocalyptic number.

5709809664 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 5709809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356256000).

5709809664 is an abundant number, since it is smaller than the sum of its proper divisors (13002702336).

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

5709809664 is an equidigital number, since it uses as much as digits as its factorization.

5709809664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 5709809664 is about 75563.2825120773. The cubic root of 5709809664 is about 1787.3401465865.

It can be divided in two parts, 570980 and 9664, that added together give a square (580644 = 762²).

The spelling of 5709809664 in words is "five billion, seven hundred nine million, eight hundred nine thousand, six hundred sixty-four".