5546006400 has 384 divisors, whose sum is σ = 20626358400. Its totient is φ = 1297408000.

The previous prime is 5546006381. The next prime is 5546006447. The reversal of 5546006400 is 46006455.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3061495 + ... + 3063305.

It is an arithmetic number, because the mean of its divisors is an integer number (53714475).

Almost surely, 2^5546006400 is an apocalyptic number.

5546006400 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 5546006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10313179200).

5546006400 is an abundant number, since it is smaller than the sum of its proper divisors (15080352000).

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

5546006400 is a wasteful number, since it uses less digits than its factorization.

5546006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5546006400 is about 74471.5140171059. The cubic root of 5546006400 is about 1770.0822841507.

Subtracting from 5546006400 its reverse (46006455), we obtain a palindrome (5499999945).

The spelling of 5546006400 in words is "five billion, five hundred forty-six million, six thousand, four hundred".