964160341200 has 720 divisors, whose sum is σ = 3962426198016. Its totient is φ = 212502528000.

The previous prime is 964160341187. The next prime is 964160341201. The reversal of 964160341200 is 2143061469.

964160341200 is a `hidden beast` number, since 9 + 6 + 4 + 1 + 603 + 41 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964160341201) 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 143 ways as a sum of consecutive naturals, for example, 105356625 + ... + 105365775.

Almost surely, 2^964160341200 is an apocalyptic number.

964160341200 is a gapful number since it is divisible by the number (90) 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 964160341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981213099008).

964160341200 is an abundant number, since it is smaller than the sum of its proper divisors (2998265856816).

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

964160341200 is a wasteful number, since it uses less digits than its factorization.

964160341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9332 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 964160341200 in words is "nine hundred sixty-four billion, one hundred sixty million, three hundred forty-one thousand, two hundred".