6748660800 has 840 divisors, whose sum is σ = 29177138496. Its totient is φ = 1497968640.

The previous prime is 6748660753. The next prime is 6748660811. The reversal of 6748660800 is 80668476.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

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

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, 39009514 + ... + 39009686.

Almost surely, 2^6748660800 is an apocalyptic number.

6748660800 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 6748660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14588569248).

6748660800 is an abundant number, since it is smaller than the sum of its proper divisors (22428477696).

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

6748660800 is a wasteful number, since it uses less digits than its factorization.

6748660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6748660800 is about 82150.2331098336. The cubic root of 6748660800 is about 1889.7565824076.

The spelling of 6748660800 in words is "six billion, seven hundred forty-eight million, six hundred sixty thousand, eight hundred".