20670384384 has 288 divisors, whose sum is σ = 66102960000. Its totient is φ = 6333603840.

The previous prime is 20670384367. The next prime is 20670384401. The reversal of 20670384384 is 48348307602.

20670384384 is a `hidden beast` number, since 206 + 7 + 0 + 3 + 8 + 438 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (20670384367) and next prime (20670384401).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20670384384² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41423367 + ... + 41423865.

Almost surely, 2^20670384384 is an apocalyptic number.

20670384384 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 20670384384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33051480000).

20670384384 is an abundant number, since it is smaller than the sum of its proper divisors (45432575616).

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

20670384384 is a wasteful number, since it uses less digits than its factorization.

20670384384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 20670384384 in words is "twenty billion, six hundred seventy million, three hundred eighty-four thousand, three hundred eighty-four".