6546394533120 has 1152 divisors, whose sum is σ = 24320774112768. Its totient is φ = 1486356480000.

The previous prime is 6546394533101. The next prime is 6546394533121. The reversal of 6546394533120 is 213354936456.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6546394533121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15549630510 + ... + 15549630930.

It is an arithmetic number, because the mean of its divisors is an integer number (21111783084).

Almost surely, 2^{6546394533120} is an apocalyptic number.

6546394533120 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 6546394533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12160387056384).

6546394533120 is an abundant number, since it is smaller than the sum of its proper divisors (17774379579648).

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

6546394533120 is a wasteful number, since it uses less digits than its factorization.

6546394533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 51.

The spelling of 6546394533120 in words is "six trillion, five hundred forty-six billion, three hundred ninety-four million, five hundred thirty-three thousand, one hundred twenty".