6754809600 has 648 divisors, whose sum is σ = 30128821632. Its totient is φ = 1402675200.

The previous prime is 6754809599. The next prime is 6754809617. The reversal of 6754809600 is 69084576.

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 71 ways as a sum of consecutive naturals, for example, 4434439 + ... + 4435961.

Almost surely, 2^6754809600 is an apocalyptic number.

6754809600 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 6754809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064410816).

6754809600 is an abundant number, since it is smaller than the sum of its proper divisors (23374012032).

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

6754809600 is a wasteful number, since it uses less digits than its factorization.

6754809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6754809600 is about 82187.6487070898. The cubic root of 6754809600 is about 1890.3303361461.

The spelling of 6754809600 in words is "six billion, seven hundred fifty-four million, eight hundred nine thousand, six hundred".