6748045200 has 600 divisors, whose sum is σ = 26847887528. Its totient is φ = 1612431360.

The previous prime is 6748045193. The next prime is 6748045217. The reversal of 6748045200 is 25408476.

It can be written as a sum of positive squares in 12 ways, for example, as 2962842624 + 3785202576 = 54432^2 + 61524^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×6748045200² = 91072228042486080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15584184 + ... + 15584616.

Almost surely, 2^6748045200 is an apocalyptic number.

6748045200 is a gapful number since it is divisible by the number (60) 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 6748045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13423943764).

6748045200 is an abundant number, since it is smaller than the sum of its proper divisors (20099842328).

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

6748045200 is a wasteful number, since it uses less digits than its factorization.

6748045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6748045200 is about 82146.4862303921. The cubic root of 6748045200 is about 1889.6991206602.

The spelling of 6748045200 in words is "six billion, seven hundred forty-eight million, forty-five thousand, two hundred".