63803246127768 has 1152 divisors, whose sum is σ = 224040498739200. Its totient is φ = 16284660940800.

The previous prime is 63803246127767. The next prime is 63803246127769. The reversal of 63803246127768 is 86772164230836.

63803246127768 is a `hidden beast` number, since 6 + 3 + 8 + 0 + 3 + 2 + 4 + 612 + 7 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (63803246127767) and next prime (63803246127769).

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 (63803246127767) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 60135009958 + ... + 60135011018.

It is an arithmetic number, because the mean of its divisors is an integer number (194479599600).

Almost surely, 2^{63803246127768} 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 63803246127768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112020249369600).

63803246127768 is an abundant number, since it is smaller than the sum of its proper divisors (160237252611432).

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

63803246127768 is a wasteful number, since it uses less digits than its factorization.

63803246127768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 63803246127768 in words is "sixty-three trillion, eight hundred three billion, two hundred forty-six million, one hundred twenty-seven thousand, seven hundred sixty-eight".