206804363040 has 576 divisors, whose sum is σ = 821584632960. Its totient is φ = 46840135680.

The previous prime is 206804363011. The next prime is 206804363053. The reversal of 206804363040 is 40363408602.

It is a happy number.

206804363040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 206804362986 and 206804363004.

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 95 ways as a sum of consecutive naturals, for example, 21965374 + ... + 21974786.

It is an arithmetic number, because the mean of its divisors is an integer number (1426362210).

Almost surely, 2^206804363040 is an apocalyptic number.

206804363040 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 206804363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410792316480).

206804363040 is an abundant number, since it is smaller than the sum of its proper divisors (614780269920).

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

206804363040 is a wasteful number, since it uses less digits than its factorization.

206804363040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9537 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 206804363040 in words is "two hundred six billion, eight hundred four million, three hundred sixty-three thousand, forty".