964606642120800 has 1080 divisors, whose sum is σ = 4092952890577320. Its totient is φ = 220433226854400.

The previous prime is 964606642120783. The next prime is 964606642120811. The reversal of 964606642120800 is 8021246606469.

964606642120800 is a `hidden beast` number, since 9 + 6 + 4 + 6 + 0 + 6 + 6 + 421 + 208 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 15656880396 + ... + 15656942004.

It is an arithmetic number, because the mean of its divisors is an integer number (3789771194979).

Almost surely, 2^{964606642120800} is an apocalyptic number.

964606642120800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964606642120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046476445288660).

964606642120800 is an abundant number, since it is smaller than the sum of its proper divisors (3128346248456520).

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

964606642120800 is a wasteful number, since it uses less digits than its factorization.

964606642120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66586 (or 66557 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 964606642120800 in words is "nine hundred sixty-four trillion, six hundred six billion, six hundred forty-two million, one hundred twenty thousand, eight hundred".