7669566428160 has 2112 divisors, whose sum is σ = 32415868058112. Its totient is φ = 1531079294976.

The previous prime is 7669566428131. The next prime is 7669566428177. The reversal of 7669566428160 is 618246659667.

It is a junction number, because it is equal to n+sod(n) for n = 7669566428091 and 7669566428100.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 38931809182 + ... + 38931809378.

It is an arithmetic number, because the mean of its divisors is an integer number (15348422376).

Almost surely, 2^{7669566428160} is an apocalyptic number.

7669566428160 is a gapful number since it is divisible by the number (70) 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 7669566428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16207934029056).

7669566428160 is an abundant number, since it is smaller than the sum of its proper divisors (24746301629952).

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

7669566428160 is a wasteful number, since it uses less digits than its factorization.

7669566428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 7669566428160 in words is "seven trillion, six hundred sixty-nine billion, five hundred sixty-six million, four hundred twenty-eight thousand, one hundred sixty".