6468156470784 has 480 divisors, whose sum is σ = 18728642227680. Its totient is φ = 1982502273024.

The previous prime is 6468156470693. The next prime is 6468156470813. The reversal of 6468156470784 is 4870746518646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2850662802 + ... + 2850665070.

It is an arithmetic number, because the mean of its divisors is an integer number (39018004641).

Almost surely, 2^{6468156470784} is an apocalyptic number.

6468156470784 is a gapful number since it is divisible by the number (64) 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 6468156470784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9364321113840).

6468156470784 is an abundant number, since it is smaller than the sum of its proper divisors (12260485756896).

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

6468156470784 is a wasteful number, since it uses less digits than its factorization.

6468156470784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 66.

The spelling of 6468156470784 in words is "six trillion, four hundred sixty-eight billion, one hundred fifty-six million, four hundred seventy thousand, seven hundred eighty-four".