5782547664 has 160 divisors (see below), whose sum is σ = 17208224000. Its totient is φ = 1857655296.

The previous prime is 5782547653. The next prime is 5782547681. The reversal of 5782547664 is 4667452875.

It is a happy number.

5782547664 is a `hidden beast` number, since 578 + 2 + 5 + 4 + 7 + 6 + 64 = 666.

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 5782547664.

It is a congruent number.

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, 1740597 + ... + 1743915.

It is an arithmetic number, because the mean of its divisors is an integer number (107551400).

Almost surely, 2^5782547664 is an apocalyptic number.

5782547664 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 5782547664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8604112000).

5782547664 is an abundant number, since it is smaller than the sum of its proper divisors (11425676336).

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

5782547664 is a wasteful number, since it uses less digits than its factorization.

5782547664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3470 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 5782547664 is about 76043.0645358273. The cubic root of 5782547664 is about 1794.8978626614.

The spelling of 5782547664 in words is "five billion, seven hundred eighty-two million, five hundred forty-seven thousand, six hundred sixty-four".