1964664000 has 336 divisors, whose sum is σ = 7572146400. Its totient is φ = 483379200.

The previous prime is 1964663983. The next prime is 1964664059. The reversal of 1964664000 is 4664691.

1964664000 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 6 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 934951 + ... + 937049.

It is an arithmetic number, because the mean of its divisors is an integer number (22536150).

Almost surely, 2^1964664000 is an apocalyptic number.

1964664000 is a gapful number since it is divisible by the number (10) 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 1964664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786073200).

1964664000 is an abundant number, since it is smaller than the sum of its proper divisors (5607482400).

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

1964664000 is a wasteful number, since it uses less digits than its factorization.

1964664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1964664000 is about 44324.5304543658. The cubic root of 1964664000 is about 1252.4568213927.

The spelling of 1964664000 in words is "one billion, nine hundred sixty-four million, six hundred sixty-four thousand".