1964662696640 has 448 divisors, whose sum is σ = 5740007742720. Its totient is φ = 625189847040.

The previous prime is 1964662696627. The next prime is 1964662696663. The reversal of 1964662696640 is 466962664691.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2240207882 + ... + 2240208758.

Almost surely, 2^{1964662696640} is an apocalyptic number.

1964662696640 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 1964662696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870003871360).

1964662696640 is an abundant number, since it is smaller than the sum of its proper divisors (3775345046080).

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

1964662696640 is a wasteful number, since it uses less digits than its factorization.

1964662696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 65.

The spelling of 1964662696640 in words is "one trillion, nine hundred sixty-four billion, six hundred sixty-two million, six hundred ninety-six thousand, six hundred forty".