6487051829760 has 320 divisors, whose sum is σ = 23049378316800. Its totient is φ = 1729367801856.

The previous prime is 6487051829711. The next prime is 6487051829761. The reversal of 6487051829760 is 679281507846.

6487051829760 is a `hidden beast` number, since 6 + 48 + 7 + 0 + 518 + 2 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (6487051829761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 271560537 + ... + 271584423.

It is an arithmetic number, because the mean of its divisors is an integer number (72029307240).

Almost surely, 2^{6487051829760} is an apocalyptic number.

6487051829760 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 6487051829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11524689158400).

6487051829760 is an abundant number, since it is smaller than the sum of its proper divisors (16562326487040).

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

6487051829760 is a wasteful number, since it uses less digits than its factorization.

6487051829760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27848 (or 27826 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 6487051829760 in words is "six trillion, four hundred eighty-seven billion, fifty-one million, eight hundred twenty-nine thousand, seven hundred sixty".