19742498064 has 105 divisors (see below), whose sum is σ = 57394515349. Its totient is φ = 6575774400.

The previous prime is 19742498059. The next prime is 19742498077. The reversal of 19742498064 is 46089424791.

The square root of 19742498064 is 140508.

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

19742498064 is a `hidden beast` number, since 1 + 97 + 4 + 2 + 498 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30338064 + 19712160000 = 5508^2 + 140400^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19742498064.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 15174214 + ... + 15175514.

Almost surely, 2^19742498064 is an apocalyptic number.

19742498064 is the 140508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19742498064

19742498064 is an abundant number, since it is smaller than the sum of its proper divisors (37652017285).

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

19742498064 is an frugal number, since it uses more digits than its factorization.

19742498064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 19742498064 in words is "nineteen billion, seven hundred forty-two million, four hundred ninety-eight thousand, sixty-four".