964820564960 has 192 divisors, whose sum is σ = 2770309019520. Its totient is φ = 309976104960.

The previous prime is 964820564957. The next prime is 964820564963. The reversal of 964820564960 is 69465028469.

964820564960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (964820564957) and next prime (964820564963).

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 964820564960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964820564963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4249520 + ... + 4470800.

It is an arithmetic number, because the mean of its divisors is an integer number (14428692810).

Almost surely, 2^964820564960 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 964820564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385154509760).

964820564960 is an abundant number, since it is smaller than the sum of its proper divisors (1805488454560).

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

964820564960 is a wasteful number, since it uses less digits than its factorization.

964820564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221549 (or 221541 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 59.

The spelling of 964820564960 in words is "nine hundred sixty-four billion, eight hundred twenty million, five hundred sixty-four thousand, nine hundred sixty".