19725640704 has 891 divisors, whose sum is σ = 76862174571. Its totient is φ = 4853882880.

The previous prime is 19725640681. The next prime is 19725640709. The reversal of 19725640704 is 40704652791.

The square root of 19725640704 is 140448.

It is a perfect power (a square), and thus also a powerful number.

19725640704 is a `hidden beast` number, since 19 + 7 + 2 + 564 + 0 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19725640704.

It is not an unprimeable number, because it can be changed into a prime (19725640709) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1038191607 + ... + 1038191625.

Almost surely, 2^19725640704 is an apocalyptic number.

19725640704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

19725640704 is the 140448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19725640704

19725640704 is an abundant number, since it is smaller than the sum of its proper divisors (57136533867).

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

19725640704 is a wasteful number, since it uses less digits than its factorization.

19725640704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 19725640704 in words is "nineteen billion, seven hundred twenty-five million, six hundred forty thousand, seven hundred four".