964545909600 has 1152 divisors, whose sum is σ = 3971895782400. Its totient is φ = 202020618240.

The previous prime is 964545909583. The next prime is 964545909671. The reversal of 964545909600 is 6909545469.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2065408567 + ... + 2065409033.

It is an arithmetic number, because the mean of its divisors is an integer number (3447826200).

Almost surely, 2^964545909600 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 964545909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985947891200).

964545909600 is an abundant number, since it is smaller than the sum of its proper divisors (3007349872800).

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

964545909600 is a wasteful number, since it uses less digits than its factorization.

964545909600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 57.

The spelling of 964545909600 in words is "nine hundred sixty-four billion, five hundred forty-five million, nine hundred nine thousand, six hundred".