206149789440 has 648 divisors, whose sum is σ = 834898192128. Its totient is φ = 46825390080.

The previous prime is 206149789421. The next prime is 206149789507. The reversal of 206149789440 is 44987941602.

206149789440 is a `hidden beast` number, since 2 + 0 + 61 + 497 + 8 + 94 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97653985 + ... + 97656095.

It is an arithmetic number, because the mean of its divisors is an integer number (1288423136).

Almost surely, 2^206149789440 is an apocalyptic number.

206149789440 is a gapful number since it is divisible by the number (20) 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 206149789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417449096064).

206149789440 is an abundant number, since it is smaller than the sum of its proper divisors (628748402688).

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

206149789440 is a wasteful number, since it uses less digits than its factorization.

206149789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 206149789440 in words is "two hundred six billion, one hundred forty-nine million, seven hundred eighty-nine thousand, four hundred forty".