964561502208 has 256 divisors, whose sum is σ = 2666328698880. Its totient is φ = 309834547200.

The previous prime is 964561502189. The next prime is 964561502209. The reversal of 964561502208 is 802205165469.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (964561502209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935558653 + ... + 935559683.

It is an arithmetic number, because the mean of its divisors is an integer number (10415346480).

Almost surely, 2^964561502208 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 964561502208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333164349440).

964561502208 is an abundant number, since it is smaller than the sum of its proper divisors (1701767196672).

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

964561502208 is a wasteful number, since it uses less digits than its factorization.

964561502208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 964561502208 in words is "nine hundred sixty-four billion, five hundred sixty-one million, five hundred two thousand, two hundred eight".