206380407986424 has 256 divisors, whose sum is σ = 671032719360000. Its totient is φ = 57550367047680.

The previous prime is 206380407986419. The next prime is 206380407986449. The reversal of 206380407986424 is 424689704083602.

206380407986424 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 80 + 40 + 7 + 98 + 6 + 424 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8564152 + ... + 22047800.

It is an arithmetic number, because the mean of its divisors is an integer number (2621221560000).

Almost surely, 2^{206380407986424} is an apocalyptic number.

206380407986424 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 206380407986424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335516359680000).

206380407986424 is an abundant number, since it is smaller than the sum of its proper divisors (464652311373576).

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

206380407986424 is a wasteful number, since it uses less digits than its factorization.

206380407986424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13483915 (or 13483905 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 206380407986424 in words is "two hundred six trillion, three hundred eighty billion, four hundred seven million, nine hundred eighty-six thousand, four hundred twenty-four".