6546416111760 has 160 divisors (see below), whose sum is σ = 23198661476352. Its totient is φ = 1495959528960.

The previous prime is 6546416111759. The next prime is 6546416111761. The reversal of 6546416111760 is 671116146456.

It is an interprime number because it is at equal distance from previous prime (6546416111759) and next prime (6546416111761).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6546416111761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6461265 + ... + 7405455.

Almost surely, 2^{6546416111760} is an apocalyptic number.

6546416111760 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 6546416111760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11599330738176).

6546416111760 is an abundant number, since it is smaller than the sum of its proper divisors (16652245364592).

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

6546416111760 is a wasteful number, since it uses less digits than its factorization.

6546416111760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948341 (or 948335 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 6546416111760 in words is "six trillion, five hundred forty-six billion, four hundred sixteen million, one hundred eleven thousand, seven hundred sixty".