19741734720 has 280 divisors, whose sum is σ = 70929523368. Its totient is φ = 5211648000.

The previous prime is 19741734713. The next prime is 19741734751. The reversal of 19741734720 is 2743714791.

19741734720 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 173 + 472 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2908229184 + 16833505536 = 53928^2 + 129744^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2614150 + ... + 2621690.

Almost surely, 2^19741734720 is an apocalyptic number.

19741734720 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 19741734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35464761684).

19741734720 is an abundant number, since it is smaller than the sum of its proper divisors (51187788648).

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

19741734720 is a wasteful number, since it uses less digits than its factorization.

19741734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7671 (or 7652 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 19741734720 in words is "nineteen billion, seven hundred forty-one million, seven hundred thirty-four thousand, seven hundred twenty".