19740766656 has 224 divisors, whose sum is σ = 60003659520. Its totient is φ = 5673959424.

The previous prime is 19740766651. The next prime is 19740766693. The reversal of 19740766656 is 65666704791.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 19740766596 and 19740766605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19740766651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5896375 + ... + 5899721.

It is an arithmetic number, because the mean of its divisors is an integer number (267873480).

Almost surely, 2^19740766656 is an apocalyptic number.

19740766656 is a gapful number since it is divisible by the number (16) 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 19740766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30001829760).

19740766656 is an abundant number, since it is smaller than the sum of its proper divisors (40262892864).

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

19740766656 is a wasteful number, since it uses less digits than its factorization.

19740766656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 19740766656 in words is "nineteen billion, seven hundred forty million, seven hundred sixty-six thousand, six hundred fifty-six".