6540022944000 has 4320 divisors, whose sum is σ = 32420680227936. Its totient is φ = 1293130137600.

The previous prime is 6540022943969. The next prime is 6540022944041. The reversal of 6540022944000 is 4492200456.

6540022944000 is a `hidden beast` number, since 6 + 540 + 0 + 22 + 94 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5702314754304 + 837708189696 = 2387952^2 + 915264^2 .

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 28068767884 + ... + 28068768116.

Almost surely, 2^{6540022944000} is an apocalyptic number.

6540022944000 is a gapful number since it is divisible by the number (60) 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 6540022944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16210340113968).

6540022944000 is an abundant number, since it is smaller than the sum of its proper divisors (25880657283936).

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

6540022944000 is a wasteful number, since it uses less digits than its factorization.

6540022944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 6540022944000 in words is "six trillion, five hundred forty billion, twenty-two million, nine hundred forty-four thousand".