206779765248 has 1280 divisors, whose sum is σ = 783401287680. Its totient is φ = 53210234880.

The previous prime is 206779765223. The next prime is 206779765249. The reversal of 206779765248 is 842567977602.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (206779765249) 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, 5588642286 + ... + 5588642322.

It is an arithmetic number, because the mean of its divisors is an integer number (612032256).

Almost surely, 2^206779765248 is an apocalyptic number.

206779765248 is a gapful number since it is divisible by the number (28) 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 206779765248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391700643840).

206779765248 is an abundant number, since it is smaller than the sum of its proper divisors (576621522432).

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

206779765248 is an frugal number, since it uses more digits than its factorization.

206779765248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 206779765248 in words is "two hundred six billion, seven hundred seventy-nine million, seven hundred sixty-five thousand, two hundred forty-eight".