6503645491200 has 1872 divisors, whose sum is σ = 27850177162080. Its totient is φ = 1429733376000.

The previous prime is 6503645491181. The next prime is 6503645491207. The reversal of 6503645491200 is 21945463056.

6503645491200 is a `hidden beast` number, since 6 + 50 + 36 + 4 + 549 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6503645491207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8039116396 + ... + 8039117204.

It is an arithmetic number, because the mean of its divisors is an integer number (14877231390).

Almost surely, 2^{6503645491200} is an apocalyptic number.

6503645491200 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 6503645491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13925088581040).

6503645491200 is an abundant number, since it is smaller than the sum of its proper divisors (21346531670880).

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

6503645491200 is a wasteful number, since it uses less digits than its factorization.

6503645491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 6503645491200 in words is "six trillion, five hundred three billion, six hundred forty-five million, four hundred ninety-one thousand, two hundred".