7432160666112 has 3600 divisors, whose sum is σ = 31608097979040. Its totient is φ = 1721646710784.

The previous prime is 7432160666101. The next prime is 7432160666173. The reversal of 7432160666112 is 2116660612347.

It is a super-3 number, since 3×7432160666112³ (a number of 40 digits) contains 333 as substring.

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 359 ways as a sum of consecutive naturals, for example, 110927771103 + ... + 110927771169.

Almost surely, 2^{7432160666112} is an apocalyptic number.

7432160666112 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 7432160666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15804048989520).

7432160666112 is an abundant number, since it is smaller than the sum of its proper divisors (24175937312928).

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

7432160666112 is a wasteful number, since it uses less digits than its factorization.

7432160666112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 7432160666112 in words is "seven trillion, four hundred thirty-two billion, one hundred sixty million, six hundred sixty-six thousand, one hundred twelve".