206693700480 has 384 divisors, whose sum is σ = 750639052800. Its totient is φ = 54339102720.

The previous prime is 206693700463. The next prime is 206693700589. The reversal of 206693700480 is 84007396602.

206693700480 is a `hidden beast` number, since 20 + 66 + 93 + 7 + 0 + 0 + 480 = 666.

206693700480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11032561 + ... + 11051279.

It is an arithmetic number, because the mean of its divisors is an integer number (1954789200).

Almost surely, 2^206693700480 is an apocalyptic number.

206693700480 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 206693700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375319526400).

206693700480 is an abundant number, since it is smaller than the sum of its proper divisors (543945352320).

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

206693700480 is an equidigital number, since it uses as much as digits as its factorization.

206693700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18824 (or 18800 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 206693700480 in words is "two hundred six billion, six hundred ninety-three million, seven hundred thousand, four hundred eighty".