6748564784500 has 384 divisors, whose sum is σ = 19065250713600. Its totient is φ = 2024947008000.

The previous prime is 6748564784449. The next prime is 6748564784509. The reversal of 6748564784500 is 54874658476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6748564784509) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 387416791 + ... + 387434209.

It is an arithmetic number, because the mean of its divisors is an integer number (49649090400).

Almost surely, 2^{6748564784500} 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 6748564784500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9532625356800).

6748564784500 is an abundant number, since it is smaller than the sum of its proper divisors (12316685929100).

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

6748564784500 is a wasteful number, since it uses less digits than its factorization.

6748564784500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17832 (or 17820 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 64.

The spelling of 6748564784500 in words is "six trillion, seven hundred forty-eight billion, five hundred sixty-four million, seven hundred eighty-four thousand, five hundred".