3563871993648 has 320 divisors, whose sum is σ = 11188587456000. Its totient is φ = 1081821920256.

The previous prime is 3563871993611. The next prime is 3563871993673. The reversal of 3563871993648 is 8463991783653.

3563871993648 is a `hidden beast` number, since 3 + 56 + 387 + 199 + 3 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54000286 + ... + 54066242.

It is an arithmetic number, because the mean of its divisors is an integer number (34964335800).

Almost surely, 2^{3563871993648} is an apocalyptic number.

3563871993648 is a gapful number since it is divisible by the number (38) 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 3563871993648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594293728000).

3563871993648 is an abundant number, since it is smaller than the sum of its proper divisors (7624715462352).

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

3563871993648 is a wasteful number, since it uses less digits than its factorization.

3563871993648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66249 (or 66237 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 3563871993648 in words is "three trillion, five hundred sixty-three billion, eight hundred seventy-one million, nine hundred ninety-three thousand, six hundred forty-eight".