19630504752768 has 3072 divisors, whose sum is σ = 80688351744000. Its totient is φ = 4605103964160.

The previous prime is 19630504752757. The next prime is 19630504752799. The reversal of 19630504752768 is 86725740503691.

19630504752768 is a `hidden beast` number, since 1 + 9 + 6 + 3 + 0 + 5 + 0 + 47 + 527 + 68 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 63943012071 + ... + 63943012377.

It is an arithmetic number, because the mean of its divisors is an integer number (26265739500).

It is a 1-persistent number, because it is pandigital, but 2⋅19630504752768 = 39261009505536 is not.

Almost surely, 2^{19630504752768} is an apocalyptic number.

19630504752768 is a gapful number since it is divisible by the number (18) 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 19630504752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40344175872000).

19630504752768 is an abundant number, since it is smaller than the sum of its proper divisors (61057846991232).

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

19630504752768 is a wasteful number, since it uses less digits than its factorization.

19630504752768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 19630504752768 in words is "nineteen trillion, six hundred thirty billion, five hundred four million, seven hundred fifty-two thousand, seven hundred sixty-eight".