964970384000 has 512 divisors, whose sum is σ = 2786254848000. Its totient is φ = 325546905600.

The previous prime is 964970383969. The next prime is 964970384009. The reversal of 964970384000 is 483079469.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 964970384000.

It is not an unprimeable number, because it can be changed into a prime (964970384009) 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 63 ways as a sum of consecutive naturals, for example, 2546095811 + ... + 2546096189.

It is an arithmetic number, because the mean of its divisors is an integer number (5441904000).

Almost surely, 2^964970384000 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 964970384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393127424000).

964970384000 is an abundant number, since it is smaller than the sum of its proper divisors (1821284464000).

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

964970384000 is a wasteful number, since it uses less digits than its factorization.

964970384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 964970384000 in words is "nine hundred sixty-four billion, nine hundred seventy million, three hundred eighty-four thousand".