6825463390560 has 48 divisors (see below), whose sum is σ = 21500209681776. Its totient is φ = 1820123570688.

The previous prime is 6825463390549. The next prime is 6825463390583. The reversal of 6825463390560 is 650933645286.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×6825463390560² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6825463390560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7109857219 + ... + 7109858178.

It is an arithmetic number, because the mean of its divisors is an integer number (447921035037).

Almost surely, 2^{6825463390560} is an apocalyptic number.

6825463390560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6825463390560 is an abundant number, since it is smaller than the sum of its proper divisors (14674746291216).

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

6825463390560 is a wasteful number, since it uses less digits than its factorization.

6825463390560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14219715415 (or 14219715407 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 57.

The spelling of 6825463390560 in words is "six trillion, eight hundred twenty-five billion, four hundred sixty-three million, three hundred ninety thousand, five hundred sixty".