20001967000704 has 192 divisors, whose sum is σ = 62008404527160. Its totient is φ = 6152153628672.

The previous prime is 20001967000699. The next prime is 20001967000727. The reversal of 20001967000704 is 40700076910002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14311452170304 + 5690514830400 = 3783048^2 + 2385480^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40082392 + ... + 40578344.

Almost surely, 2^{20001967000704} is an apocalyptic number.

20001967000704 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 20001967000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31004202263580).

20001967000704 is an abundant number, since it is smaller than the sum of its proper divisors (42006437526456).

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

20001967000704 is a wasteful number, since it uses less digits than its factorization.

20001967000704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498679 (or 498664 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 20001967000704 in words is "twenty trillion, one billion, nine hundred sixty-seven million, seven hundred four", and thus it is an aban number.