1964006313984 has 1248 divisors, whose sum is σ = 7071220840320. Its totient is φ = 533672755200.

The previous prime is 1964006313949. The next prime is 1964006313989. The reversal of 1964006313984 is 4893136004691.

1964006313984 is a `hidden beast` number, since 1 + 96 + 400 + 63 + 1 + 3 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1964006313984.

It is not an unprimeable number, because it can be changed into a prime (1964006313989) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8429211532 + ... + 8429211764.

It is an arithmetic number, because the mean of its divisors is an integer number (5666042340).

Almost surely, 2^{1964006313984} 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 1964006313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535610420160).

1964006313984 is an abundant number, since it is smaller than the sum of its proper divisors (5107214526336).

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

1964006313984 is a wasteful number, since it uses less digits than its factorization.

1964006313984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1964006313984 in words is "one trillion, nine hundred sixty-four billion, six million, three hundred thirteen thousand, nine hundred eighty-four".