7666906632192 has 208 divisors, whose sum is σ = 24050110150080. Its totient is φ = 2405303451648.

The previous prime is 7666906632173. The next prime is 7666906632197. The reversal of 7666906632192 is 2912366096667.

It is a happy number.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7666906632197) 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 15 ways as a sum of consecutive naturals, for example, 158938 + ... + 3919065.

Almost surely, 2^{7666906632192} is an apocalyptic number.

7666906632192 is a gapful number since it is divisible by the number (72) 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 7666906632192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12025055075040).

7666906632192 is an abundant number, since it is smaller than the sum of its proper divisors (16383203517888).

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

7666906632192 is a wasteful number, since it uses less digits than its factorization.

7666906632192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078053 (or 4078025 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 7666906632192 in words is "seven trillion, six hundred sixty-six billion, nine hundred six million, six hundred thirty-two thousand, one hundred ninety-two".