19486752768 has 720 divisors, whose sum is σ = 71720409600. Its totient is φ = 5202247680.

The previous prime is 19486752751. The next prime is 19486752781. The reversal of 19486752768 is 86725768491.

19486752768 is a `hidden beast` number, since 1 + 9 + 48 + 6 + 7 + 527 + 68 = 666.

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

Its product of digits (40642560) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628604913 + ... + 628604943.

It is an arithmetic number, because the mean of its divisors is an integer number (99611680).

Almost surely, 2^19486752768 is an apocalyptic number.

19486752768 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 19486752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35860204800).

19486752768 is an abundant number, since it is smaller than the sum of its proper divisors (52233656832).

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

19486752768 is an equidigital number, since it uses as much as digits as its factorization.

19486752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 72 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 19486752768 in words is "nineteen billion, four hundred eighty-six million, seven hundred fifty-two thousand, seven hundred sixty-eight".