20789642974464 has 720 divisors, whose sum is σ = 76465260009600. Its totient is φ = 5470860165120.

The previous prime is 20789642974411. The next prime is 20789642974469. The reversal of 20789642974464 is 46447924698702.

20789642974464 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 96 + 4 + 2 + 9 + 74 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 20789642974392 and 20789642974401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20789642974469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 869883987 + ... + 869907885.

Almost surely, 2^{20789642974464} is an apocalyptic number.

20789642974464 is a gapful number since it is divisible by the number (24) 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 20789642974464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38232630004800).

20789642974464 is an abundant number, since it is smaller than the sum of its proper divisors (55675617035136).

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

20789642974464 is a wasteful number, since it uses less digits than its factorization.

20789642974464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24408 (or 24385 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 20789642974464 in words is "twenty trillion, seven hundred eighty-nine billion, six hundred forty-two million, nine hundred seventy-four thousand, four hundred sixty-four".