206478075248640 has 960 divisors, whose sum is σ = 792699264000000. Its totient is φ = 50689965293568.

The previous prime is 206478075248633. The next prime is 206478075248659. The reversal of 206478075248640 is 46842570874602.

It is a happy number.

206478075248640 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 7 + 80 + 75 + 2 + 486 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 11012741986 + ... + 11012760734.

It is an arithmetic number, because the mean of its divisors is an integer number (825728400000).

Almost surely, 2^{206478075248640} is an apocalyptic number.

206478075248640 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 206478075248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396349632000000).

206478075248640 is an abundant number, since it is smaller than the sum of its proper divisors (586221188751360).

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

206478075248640 is a wasteful number, since it uses less digits than its factorization.

206478075248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19187 (or 19155 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 206478075248640 in words is "two hundred six trillion, four hundred seventy-eight billion, seventy-five million, two hundred forty-eight thousand, six hundred forty".