6546106072 has 32 divisors (see below), whose sum is σ = 13821696000. Its totient is φ = 2879517600.

The previous prime is 6546106057. The next prime is 6546106079. The reversal of 6546106072 is 2706016456.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6546106079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1197072 + ... + 1202527.

It is an arithmetic number, because the mean of its divisors is an integer number (431928000).

Almost surely, 2^6546106072 is an apocalyptic number.

6546106072 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

6546106072 is an abundant number, since it is smaller than the sum of its proper divisors (7275589928).

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

6546106072 is a wasteful number, since it uses less digits than its factorization.

6546106072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399647 (or 2399643 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 6546106072 is about 80908.0099372120. The cubic root of 6546106072 is about 1870.6577868360.

The spelling of 6546106072 in words is "six billion, five hundred forty-six million, one hundred six thousand, seventy-two".