20392796717964 has 576 divisors, whose sum is σ = 60832483246080. Its totient is φ = 5919511104000.

The previous prime is 20392796717963. The next prime is 20392796717971. The reversal of 20392796717964 is 46971769729302.

It is a happy number.

20392796717964 is a `hidden beast` number, since 2 + 0 + 392 + 7 + 9 + 6 + 7 + 179 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20392796717892 and 20392796717901.

It is not an unprimeable number, because it can be changed into a prime (20392796717963) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6614593567 + ... + 6614596649.

It is an arithmetic number, because the mean of its divisors is an integer number (105611950080).

Almost surely, 2^{20392796717964} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20392796717964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30416241623040).

20392796717964 is an abundant number, since it is smaller than the sum of its proper divisors (40439686528116).

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

20392796717964 is a wasteful number, since it uses less digits than its factorization.

20392796717964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 72.

The spelling of 20392796717964 in words is "twenty trillion, three hundred ninety-two billion, seven hundred ninety-six million, seven hundred seventeen thousand, nine hundred sixty-four".