19613379744 has 288 divisors, whose sum is σ = 67968149760. Its totient is φ = 5484036096.

The previous prime is 19613379713. The next prime is 19613379769. The reversal of 19613379744 is 44797331691.

19613379744 is a `hidden beast` number, since 19 + 613 + 3 + 7 + 9 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1984864 + ... + 1994720.

It is an arithmetic number, because the mean of its divisors is an integer number (236000520).

Almost surely, 2^19613379744 is an apocalyptic number.

19613379744 is a gapful number since it is divisible by the number (14) 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 19613379744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33984074880).

19613379744 is an abundant number, since it is smaller than the sum of its proper divisors (48354770016).

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

19613379744 is a wasteful number, since it uses less digits than its factorization.

19613379744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9937 (or 9916 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 19613379744 in words is "nineteen billion, six hundred thirteen million, three hundred seventy-nine thousand, seven hundred forty-four".