6753102400000 has 960 divisors, whose sum is σ = 19367986619520. Its totient is φ = 2329600000000.

The previous prime is 6753102399983. The next prime is 6753102400001. The reversal of 6753102400000 is 42013576.

It is not an unprimeable number, because it can be changed into a prime (6753102400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51550399935 + ... + 51550400065.

It is an arithmetic number, because the mean of its divisors is an integer number (20174986062).

Almost surely, 2^{6753102400000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6753102400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9683993309760).

6753102400000 is an abundant number, since it is smaller than the sum of its proper divisors (12614884219520).

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

6753102400000 is a wasteful number, since it uses less digits than its factorization.

6753102400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 6753102400000 its reverse (42013576), we get a palindrome (6753144413576).

The spelling of 6753102400000 in words is "six trillion, seven hundred fifty-three billion, one hundred two million, four hundred thousand".