20664974269680 has 640 divisors, whose sum is σ = 75907141632000. Its totient is φ = 4601637900288.

The previous prime is 20664974269673. The next prime is 20664974269711. The reversal of 20664974269680 is 8696247946602.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 816687909 + ... + 816713211.

It is an arithmetic number, because the mean of its divisors is an integer number (118604908800).

Almost surely, 2^{20664974269680} is an apocalyptic number.

20664974269680 is a gapful number since it is divisible by the number (20) 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 20664974269680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37953570816000).

20664974269680 is an abundant number, since it is smaller than the sum of its proper divisors (55242167362320).

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

20664974269680 is a wasteful number, since it uses less digits than its factorization.

20664974269680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25973 (or 25967 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 69.

The spelling of 20664974269680 in words is "twenty trillion, six hundred sixty-four billion, nine hundred seventy-four million, two hundred sixty-nine thousand, six hundred eighty".