6545536819200 has 1344 divisors, whose sum is σ = 25669932912000. Its totient is φ = 1629424189440.

The previous prime is 6545536819181. The next prime is 6545536819229. The reversal of 6545536819200 is 29186355456.

6545536819200 is a `hidden beast` number, since 6 + 5 + 4 + 5 + 536 + 81 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16826572606 + ... + 16826572994.

Almost surely, 2^{6545536819200} is an apocalyptic number.

6545536819200 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 6545536819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12834966456000).

6545536819200 is an abundant number, since it is smaller than the sum of its proper divisors (19124396092800).

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

6545536819200 is a wasteful number, since it uses less digits than its factorization.

6545536819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 595 counting only the distinct ones).

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

The spelling of 6545536819200 in words is "six trillion, five hundred forty-five billion, five hundred thirty-six million, eight hundred nineteen thousand, two hundred".