5474649600 has 960 divisors, whose sum is σ = 24030842880. Its totient is φ = 1194393600.

The previous prime is 5474649571. The next prime is 5474649641. The reversal of 5474649600 is 69464745.

5474649600 is a `hidden beast` number, since 547 + 4 + 6 + 49 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74995164 + ... + 74995236.

It is an arithmetic number, because the mean of its divisors is an integer number (25032128).

Almost surely, 2^5474649600 is an apocalyptic number.

5474649600 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 5474649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12015421440).

5474649600 is an abundant number, since it is smaller than the sum of its proper divisors (18556193280).

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

5474649600 is a wasteful number, since it uses less digits than its factorization.

5474649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5474649600 is about 73990.8751130840. The cubic root of 5474649600 is about 1762.4579980937.

The spelling of 5474649600 in words is "five billion, four hundred seventy-four million, six hundred forty-nine thousand, six hundred".