19630075690368 has 1024 divisors, whose sum is σ = 68845593600000. Its totient is φ = 5428319846400.

The previous prime is 19630075690349. The next prime is 19630075690391. The reversal of 19630075690368 is 86309657003691.

19630075690368 is a `hidden beast` number, since 1 + 9 + 6 + 3 + 0 + 0 + 7 + 569 + 0 + 3 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19808350353 + ... + 19808351343.

It is an arithmetic number, because the mean of its divisors is an integer number (67232025000).

Almost surely, 2^{19630075690368} is an apocalyptic number.

19630075690368 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 19630075690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34422796800000).

19630075690368 is an abundant number, since it is smaller than the sum of its proper divisors (49215517909632).

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

19630075690368 is a wasteful number, since it uses less digits than its factorization.

19630075690368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 19630075690368 in words is "nineteen trillion, six hundred thirty billion, seventy-five million, six hundred ninety thousand, three hundred sixty-eight".