20675338609464 has 1280 divisors, whose sum is σ = 77786506828800. Its totient is φ = 4966288588800.

The previous prime is 20675338609439. The next prime is 20675338609501. The reversal of 20675338609464 is 46490683357602.

20675338609464 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 533 + 8 + 6 + 0 + 94 + 6 + 4 = 666.

It is a super-2 number, since 2×20675338609464² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 319 ways as a sum of consecutive naturals, for example, 23468034304 + ... + 23468035184.

It is an arithmetic number, because the mean of its divisors is an integer number (60770708460).

Almost surely, 2^{20675338609464} is an apocalyptic number.

20675338609464 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 20675338609464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38893253414400).

20675338609464 is an abundant number, since it is smaller than the sum of its proper divisors (57111168219336).

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

20675338609464 is a wasteful number, since it uses less digits than its factorization.

20675338609464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 20675338609464 in words is "twenty trillion, six hundred seventy-five billion, three hundred thirty-eight million, six hundred nine thousand, four hundred sixty-four".