19727378576640 has 864 divisors, whose sum is σ = 84608618605056. Its totient is φ = 4140352143360.

The previous prime is 19727378576593. The next prime is 19727378576669. The reversal of 19727378576640 is 4667587372791.

19727378576640 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 7 + 3 + 7 + 8 + 576 + 6 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56030589 + ... + 56381571.

It is an arithmetic number, because the mean of its divisors is an integer number (97926641904).

It is a 1-persistent number, because it is pandigital, but 2⋅19727378576640 = 39454757153280 is not.

Almost surely, 2^{19727378576640} is an apocalyptic number.

19727378576640 is a gapful number since it is divisible by the number (10) 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 19727378576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42304309302528).

19727378576640 is an abundant number, since it is smaller than the sum of its proper divisors (64881240028416).

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

19727378576640 is a wasteful number, since it uses less digits than its factorization.

19727378576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351075 (or 351058 counting only the distinct ones).

The product of its (nonzero) digits is 746807040, while the sum is 72.

The spelling of 19727378576640 in words is "nineteen trillion, seven hundred twenty-seven billion, three hundred seventy-eight million, five hundred seventy-six thousand, six hundred forty".