6507748800 has 756 divisors, whose sum is σ = 28146274416. Its totient is φ = 1419264000.

The previous prime is 6507748763. The next prime is 6507748813. The reversal of 6507748800 is 88477056.

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 107 ways as a sum of consecutive naturals, for example, 16228600 + ... + 16229000.

Almost surely, 2^6507748800 is an apocalyptic number.

6507748800 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 6507748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14073137208).

6507748800 is an abundant number, since it is smaller than the sum of its proper divisors (21638525616).

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

6507748800 is a wasteful number, since it uses less digits than its factorization.

6507748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 6507748800 is about 80670.6191869134. The cubic root of 6507748800 is about 1866.9968860241.

The spelling of 6507748800 in words is "six billion, five hundred seven million, seven hundred forty-eight thousand, eight hundred".