6546351631680 has 1792 divisors, whose sum is σ = 28924339814400. Its totient is φ = 1360085852160.

The previous prime is 6546351631667. The next prime is 6546351631681. The reversal of 6546351631680 is 861361536456.

6546351631680 is a `hidden beast` number, since 6 + 5 + 4 + 63 + 516 + 3 + 1 + 68 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6546351631681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4524084717 + ... + 4524086163.

Almost surely, 2^{6546351631680} is an apocalyptic number.

6546351631680 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 6546351631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14462169907200).

6546351631680 is an abundant number, since it is smaller than the sum of its proper divisors (22377988182720).

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

6546351631680 is a wasteful number, since it uses less digits than its factorization.

6546351631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 6546351631680 in words is "six trillion, five hundred forty-six billion, three hundred fifty-one million, six hundred thirty-one thousand, six hundred eighty".