19734630400 has 117 divisors (see below), whose sum is σ = 49047634281. Its totient is φ = 7875870720.

The previous prime is 19734630341. The next prime is 19734630439. The reversal of 19734630400 is 403643791.

The square root of 19734630400 is 140480.

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

It can be written as a sum of positive squares in only one way, i.e., 7104466944 + 12630163456 = 84288^2 + 112384^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19734630400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44953381 + ... + 44953819.

Almost surely, 2^19734630400 is an apocalyptic number.

19734630400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19734630400 is the 140480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19734630400

19734630400 is an abundant number, since it is smaller than the sum of its proper divisors (29313003881).

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

19734630400 is an frugal number, since it uses more digits than its factorization.

19734630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 19734630400 in words is "nineteen billion, seven hundred thirty-four million, six hundred thirty thousand, four hundred".