5344769664 has 192 divisors, whose sum is σ = 17083123200. Its totient is φ = 1644364800.

The previous prime is 5344769663. The next prime is 5344769669. The reversal of 5344769664 is 4669674435.

It is a happy number.

5344769664 is a `hidden beast` number, since 53 + 447 + 6 + 96 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×5344769664² = 57133125522429345792, which contains 22 as substring.

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 5344769664.

It is not an unprimeable number, because it can be changed into a prime (5344769663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579489 + ... + 588639.

It is an arithmetic number, because the mean of its divisors is an integer number (88974600).

Almost surely, 2^5344769664 is an apocalyptic number.

5344769664 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 5344769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8541561600).

5344769664 is an abundant number, since it is smaller than the sum of its proper divisors (11738353536).

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

5344769664 is a wasteful number, since it uses less digits than its factorization.

5344769664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9200 (or 9169 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The square root of 5344769664 is about 73107.9316080000. The cubic root of 5344769664 is about 1748.4088572973.

The spelling of 5344769664 in words is "five billion, three hundred forty-four million, seven hundred sixty-nine thousand, six hundred sixty-four".