20070400186368 has 576 divisors, whose sum is σ = 67113999912960. Its totient is φ = 5659921612800.

The previous prime is 20070400186349. The next prime is 20070400186409. The reversal of 20070400186368 is 86368100407002.

20070400186368 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 0 + 4 + 0 + 0 + 1 + 8 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×20070400186368³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3228306396 + ... + 3228312612.

It is an arithmetic number, because the mean of its divisors is an integer number (116517360960).

Almost surely, 2^{20070400186368} is an apocalyptic number.

20070400186368 is a gapful number since it is divisible by the number (28) 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 20070400186368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33556999956480).

20070400186368 is an abundant number, since it is smaller than the sum of its proper divisors (47043599726592).

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

20070400186368 is a wasteful number, since it uses less digits than its factorization.

20070400186368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574 (or 6551 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20070400186368 in words is "twenty trillion, seventy billion, four hundred million, one hundred eighty-six thousand, three hundred sixty-eight".