19742376960 has 264 divisors, whose sum is σ = 69355717080. Its totient is φ = 5191630848.

The previous prime is 19742376883. The next prime is 19742377027. The reversal of 19742376960 is 6967324791.

It is a happy number.

19742376960 is a `hidden beast` number, since 1 + 97 + 423 + 76 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 285474816 + 19456902144 = 16896^2 + 139488^2 .

It is a super-2 number, since 2×19742376960² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19742376897 and 19742376906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3360906 + ... + 3366774.

Almost surely, 2^19742376960 is an apocalyptic number.

19742376960 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 19742376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34677858540).

19742376960 is an abundant number, since it is smaller than the sum of its proper divisors (49613340120).

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

19742376960 is a wasteful number, since it uses less digits than its factorization.

19742376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5973 (or 5952 counting only the distinct ones).

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

The spelling of 19742376960 in words is "nineteen billion, seven hundred forty-two million, three hundred seventy-six thousand, nine hundred sixty".