6546416444640 has 192 divisors, whose sum is σ = 22999581158400. Its totient is φ = 1739073065472.

The previous prime is 6546416444627. The next prime is 6546416444663. The reversal of 6546416444640 is 464446146456.

6546416444640 is a `hidden beast` number, since 6 + 546 + 4 + 16 + 4 + 4 + 46 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1744780 + ... + 4017099.

It is an arithmetic number, because the mean of its divisors is an integer number (119789485200).

Almost surely, 2^{6546416444640} is an apocalyptic number.

6546416444640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6546416444640 is an abundant number, since it is smaller than the sum of its proper divisors (16453164713760).

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

6546416444640 is a wasteful number, since it uses less digits than its factorization.

6546416444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762166 (or 5762152 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 6546416444640 in words is "six trillion, five hundred forty-six billion, four hundred sixteen million, four hundred forty-four thousand, six hundred forty".