6547720929456 has 960 divisors, whose sum is σ = 22411994112000. Its totient is φ = 1638840107520.

The previous prime is 6547720929439. The next prime is 6547720929473. The reversal of 6547720929456 is 6549290277456.

It is an interprime number because it is at equal distance from previous prime (6547720929439) and next prime (6547720929473).

It is a super-2 number, since 2×6547720929456² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6914171575 + ... + 6914172521.

It is an arithmetic number, because the mean of its divisors is an integer number (23345827200).

Almost surely, 2^{6547720929456} 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 6547720929456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11205997056000).

6547720929456 is an abundant number, since it is smaller than the sum of its proper divisors (15864273182544).

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

6547720929456 is a wasteful number, since it uses less digits than its factorization.

6547720929456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 66.

The spelling of 6547720929456 in words is "six trillion, five hundred forty-seven billion, seven hundred twenty million, nine hundred twenty-nine thousand, four hundred fifty-six".