1963649318400 has 2880 divisors, whose sum is σ = 9336566992896. Its totient is φ = 382205952000.

The previous prime is 1963649318387. The next prime is 1963649318419. The reversal of 1963649318400 is 48139463691.

1963649318400 is a `hidden beast` number, since 1 + 96 + 3 + 64 + 93 + 1 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 10174348704 + ... + 10174348896.

Almost surely, 2^{1963649318400} is an apocalyptic number.

1963649318400 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 1963649318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668283496448).

1963649318400 is an abundant number, since it is smaller than the sum of its proper divisors (7372917674496).

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

1963649318400 is a wasteful number, since it uses less digits than its factorization.

1963649318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 289 counting only the distinct ones).

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

The spelling of 1963649318400 in words is "one trillion, nine hundred sixty-three billion, six hundred forty-nine million, three hundred eighteen thousand, four hundred".