6657474506672 has 160 divisors (see below), whose sum is σ = 15282559353600. Its totient is φ = 2776801996800.

The previous prime is 6657474506621. The next prime is 6657474506677. The reversal of 6657474506672 is 2766054747566.

It is a junction number, because it is equal to n+sod(n) for n = 6657474506599 and 6657474506608.

It is not an unprimeable number, because it can be changed into a prime (6657474506677) 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, 18882788 + ... + 19232124.

It is an arithmetic number, because the mean of its divisors is an integer number (95515995960).

Almost surely, 2^{6657474506672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6657474506672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641279676800).

6657474506672 is an abundant number, since it is smaller than the sum of its proper divisors (8625084846928).

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

6657474506672 is a wasteful number, since it uses less digits than its factorization.

6657474506672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349555 (or 349549 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 65.

The spelling of 6657474506672 in words is "six trillion, six hundred fifty-seven billion, four hundred seventy-four million, five hundred six thousand, six hundred seventy-two".