20073667824 has 120 divisors (see below), whose sum is σ = 64305800832. Its totient is φ = 5726229120.

The previous prime is 20073667811. The next prime is 20073667829. The reversal of 20073667824 is 42876637002.

20073667824 is a `hidden beast` number, since 200 + 7 + 366 + 7 + 82 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20073667824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20073667829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632659 + ... + 663629.

Almost surely, 2^20073667824 is an apocalyptic number.

20073667824 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 20073667824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32152900416).

20073667824 is an abundant number, since it is smaller than the sum of its proper divisors (44232133008).

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

20073667824 is a wasteful number, since it uses less digits than its factorization.

20073667824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31635 (or 31626 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 20073667824 in words is "twenty billion, seventy-three million, six hundred sixty-seven thousand, eight hundred twenty-four".