964225325800 has 192 divisors, whose sum is σ = 2494640332800. Its totient is φ = 343667116800.

The previous prime is 964225325779. The next prime is 964225325803. The reversal of 964225325800 is 8523522469.

It is a super-2 number, since 2×964225325800² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (964225325803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23169411 + ... + 23210989.

It is an arithmetic number, because the mean of its divisors is an integer number (12992918400).

Almost surely, 2^964225325800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964225325800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247320166400).

964225325800 is an abundant number, since it is smaller than the sum of its proper divisors (1530415007000).

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

964225325800 is a wasteful number, since it uses less digits than its factorization.

964225325800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41816 (or 41807 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 964225325800 in words is "nine hundred sixty-four billion, two hundred twenty-five million, three hundred twenty-five thousand, eight hundred".