5478765600 has 576 divisors, whose sum is σ = 23218513920. Its totient is φ = 1088102400.

The previous prime is 5478765599. The next prime is 5478765601. The reversal of 5478765600 is 65678745.

It is an interprime number because it is at equal distance from previous prime (5478765599) and next prime (5478765601).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5478765600.

It is not an unprimeable number, because it can be changed into a prime (5478765601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4249756 + ... + 4251044.

It is an arithmetic number, because the mean of its divisors is an integer number (40309920).

Almost surely, 2^5478765600 is an apocalyptic number.

5478765600 is a gapful number since it is divisible by the number (50) 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 5478765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11609256960).

5478765600 is an abundant number, since it is smaller than the sum of its proper divisors (17739748320).

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

5478765600 is a wasteful number, since it uses less digits than its factorization.

5478765600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 5478765600 is about 74018.6841277255. The cubic root of 5478765600 is about 1762.8995764239.

The spelling of 5478765600 in words is "five billion, four hundred seventy-eight million, seven hundred sixty-five thousand, six hundred".