1964542381776 has 960 divisors, whose sum is σ = 6523346479104. Its totient is φ = 547330867200.

The previous prime is 1964542381733. The next prime is 1964542381793. The reversal of 1964542381776 is 6771832454691.

1964542381776 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 542 + 3 + 8 + 17 + 76 = 666.

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 191 ways as a sum of consecutive naturals, for example, 6941845731 + ... + 6941846013.

Almost surely, 2^{1964542381776} is an apocalyptic number.

1964542381776 is a gapful number since it is divisible by the number (16) 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 1964542381776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261673239552).

1964542381776 is an abundant number, since it is smaller than the sum of its proper divisors (4558804097328).

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

1964542381776 is a wasteful number, since it uses less digits than its factorization.

1964542381776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 1964542381776 in words is "one trillion, nine hundred sixty-four billion, five hundred forty-two million, three hundred eighty-one thousand, seven hundred seventy-six".