206012361984 has 432 divisors, whose sum is σ = 670086907392. Its totient is φ = 55756800000.

The previous prime is 206012361983. The next prime is 206012362013. The reversal of 206012361984 is 489163210602.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206012361983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37447234 + ... + 37452734.

Almost surely, 2^206012361984 is an apocalyptic number.

206012361984 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 206012361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335043453696).

206012361984 is an abundant number, since it is smaller than the sum of its proper divisors (464074545408).

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

206012361984 is a wasteful number, since it uses less digits than its factorization.

206012361984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 206012361984 in words is "two hundred six billion, twelve million, three hundred sixty-one thousand, nine hundred eighty-four".