964189197664 has 144 divisors (see below), whose sum is σ = 2445458335488. Its totient is φ = 363539232000.

The previous prime is 964189197617. The next prime is 964189197667. The reversal of 964189197664 is 466791981469.

It is a junction number, because it is equal to n+sod(n) for n = 964189197593 and 964189197602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964189197667) 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 23 ways as a sum of consecutive naturals, for example, 2164309 + ... + 2571499.

It is an arithmetic number, because the mean of its divisors is an integer number (16982349552).

Almost surely, 2^964189197664 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 964189197664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222729167744).

964189197664 is an abundant number, since it is smaller than the sum of its proper divisors (1481269137824).

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

964189197664 is a wasteful number, since it uses less digits than its factorization.

964189197664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407281 (or 407242 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 70.

The spelling of 964189197664 in words is "nine hundred sixty-four billion, one hundred eighty-nine million, one hundred ninety-seven thousand, six hundred sixty-four".