5459677344 has 576 divisors, whose sum is σ = 19020718080. Its totient is φ = 1524096000.

The previous prime is 5459677343. The next prime is 5459677357. The reversal of 5459677344 is 4437769545.

5459677344 is a `hidden beast` number, since 5 + 4 + 596 + 7 + 7 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (12700800) is a multiple of the sum of its prime divisors (147).

It is not an unprimeable number, because it can be changed into a prime (5459677343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76896829 + ... + 76896899.

It is an arithmetic number, because the mean of its divisors is an integer number (33022080).

Almost surely, 2^5459677344 is an apocalyptic number.

5459677344 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 5459677344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510359040).

5459677344 is an abundant number, since it is smaller than the sum of its proper divisors (13561040736).

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

5459677344 is a wasteful number, since it uses less digits than its factorization.

5459677344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The square root of 5459677344 is about 73889.6294753195. The cubic root of 5459677344 is about 1760.8498547144.

The spelling of 5459677344 in words is "five billion, four hundred fifty-nine million, six hundred seventy-seven thousand, three hundred forty-four".