1964939961600 has 1296 divisors, whose sum is σ = 9061183797120. Its totient is φ = 394194124800.

The previous prime is 1964939961599. The next prime is 1964939961601. The reversal of 1964939961600 is 61699394691.

1964939961600 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 9 + 3 + 9 + 9 + 616 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1964939961599) and next prime (1964939961601).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1964939961601) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 128613162 + ... + 128628438.

Almost surely, 2^{1964939961600} is an apocalyptic number.

1964939961600 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 1964939961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530591898560).

1964939961600 is an abundant number, since it is smaller than the sum of its proper divisors (7096243835520).

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

1964939961600 is a wasteful number, since it uses less digits than its factorization.

1964939961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15356 (or 15334 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The spelling of 1964939961600 in words is "one trillion, nine hundred sixty-four billion, nine hundred thirty-nine million, nine hundred sixty-one thousand, six hundred".