6753147648 has 288 divisors, whose sum is σ = 20186642112. Its totient is φ = 1990656000.

The previous prime is 6753147641. The next prime is 6753147649. The reversal of 6753147648 is 8467413576.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6753147648.

It is not an unprimeable number, because it can be changed into a prime (6753147641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37310118 + ... + 37310298.

Almost surely, 2^6753147648 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 6753147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10093321056).

6753147648 is an abundant number, since it is smaller than the sum of its proper divisors (13433494464).

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

6753147648 is a wasteful number, since it uses less digits than its factorization.

6753147648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The square root of 6753147648 is about 82177.5373687968. The cubic root of 6753147648 is about 1890.1752912640.

The spelling of 6753147648 in words is "six billion, seven hundred fifty-three million, one hundred forty-seven thousand, six hundred forty-eight".