5763656198664 has 768 divisors, whose sum is σ = 20561345925120. Its totient is φ = 1416886732800.

The previous prime is 5763656198647. The next prime is 5763656198689. The reversal of 5763656198664 is 4668916563675.

5763656198664 is a `hidden beast` number, since 5 + 76 + 365 + 6 + 198 + 6 + 6 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5763656198592 and 5763656198601.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3972195139 + ... + 3972196589.

It is an arithmetic number, because the mean of its divisors is an integer number (26772585840).

Almost surely, 2^{5763656198664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5763656198664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10280672962560).

5763656198664 is an abundant number, since it is smaller than the sum of its proper divisors (14797689726456).

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

5763656198664 is a wasteful number, since it uses less digits than its factorization.

5763656198664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2155 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 5763656198664 in words is "five trillion, seven hundred sixty-three billion, six hundred fifty-six million, one hundred ninety-eight thousand, six hundred sixty-four".