6544940905152 has 336 divisors, whose sum is σ = 20415631699008. Its totient is φ = 1992661032960.

The previous prime is 6544940905141. The next prime is 6544940905157. The reversal of 6544940905152 is 2515090494456.

It is a happy number.

6544940905152 is a `hidden beast` number, since 6 + 5 + 449 + 40 + 9 + 0 + 5 + 152 = 666.

It is a super-3 number, since 3×6544940905152³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6544940905157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1244046202 + ... + 1244051462.

It is an arithmetic number, because the mean of its divisors is an integer number (60760808628).

Almost surely, 2^{6544940905152} 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 6544940905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10207815849504).

6544940905152 is an abundant number, since it is smaller than the sum of its proper divisors (13870690793856).

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

6544940905152 is a wasteful number, since it uses less digits than its factorization.

6544940905152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008 (or 6995 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 6544940905152 in words is "six trillion, five hundred forty-four billion, nine hundred forty million, nine hundred five thousand, one hundred fifty-two".