6047461662480 has 960 divisors, whose sum is σ = 25545147863040. Its totient is φ = 1250108411904.

The previous prime is 6047461662421. The next prime is 6047461662493. The reversal of 6047461662480 is 842661647406.

It is a happy number.

6047461662480 is a `hidden beast` number, since 6 + 0 + 4 + 7 + 4 + 6 + 1 + 6 + 624 + 8 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1239993802 + ... + 1239998678.

It is an arithmetic number, because the mean of its divisors is an integer number (26609529024).

Almost surely, 2^{6047461662480} is an apocalyptic number.

6047461662480 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 6047461662480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12772573931520).

6047461662480 is an abundant number, since it is smaller than the sum of its proper divisors (19497686200560).

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

6047461662480 is a wasteful number, since it uses less digits than its factorization.

6047461662480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508 (or 5499 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 6047461662480 in words is "six trillion, forty-seven billion, four hundred sixty-one million, six hundred sixty-two thousand, four hundred eighty".