206802478080 has 1408 divisors, whose sum is σ = 855723294720. Its totient is φ = 46891008000.

The previous prime is 206802478037. The next prime is 206802478081. The reversal of 206802478080 is 80874208602.

It is a happy number.

206802478080 is a `hidden beast` number, since 20 + 6 + 80 + 2 + 478 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (206802478081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1932733387 + ... + 1932733493.

Almost surely, 2^206802478080 is an apocalyptic number.

206802478080 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 206802478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427861647360).

206802478080 is an abundant number, since it is smaller than the sum of its proper divisors (648920816640).

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

206802478080 is a wasteful number, since it uses less digits than its factorization.

206802478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 206802478080 in words is "two hundred six billion, eight hundred two million, four hundred seventy-eight thousand, eighty".