1966325760 has 480 divisors, whose sum is σ = 8052817920. Its totient is φ = 445906944.

The previous prime is 1966325749. The next prime is 1966325771. The reversal of 1966325760 is 675236691.

1966325760 is a `hidden beast` number, since 1 + 9 + 6 + 632 + 5 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1966325749) and next prime (1966325771).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15482817 + ... + 15482943.

It is an arithmetic number, because the mean of its divisors is an integer number (16776704).

Almost surely, 2^1966325760 is an apocalyptic number.

1966325760 is a gapful number since it is divisible by the number (10) 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 1966325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026408960).

1966325760 is an abundant number, since it is smaller than the sum of its proper divisors (6086492160).

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

1966325760 is an equidigital number, since it uses as much as digits as its factorization.

1966325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 1966325760 is about 44343.2718684582. The cubic root of 1966325760 is about 1252.8098412345.

The spelling of 1966325760 in words is "one billion, nine hundred sixty-six million, three hundred twenty-five thousand, seven hundred sixty".