206428642560 has 1080 divisors, whose sum is σ = 867840130080. Its totient is φ = 46713397248.

The previous prime is 206428642531. The next prime is 206428642603. The reversal of 206428642560 is 65246824602.

206428642560 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 2 + 86 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×206428642560² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 909377167 + ... + 909377393.

It is an arithmetic number, because the mean of its divisors is an integer number (803555676).

Almost surely, 2^206428642560 is an apocalyptic number.

206428642560 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 206428642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433920065040).

206428642560 is an abundant number, since it is smaller than the sum of its proper divisors (661411487520).

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

206428642560 is a wasteful number, since it uses less digits than its factorization.

206428642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 206428642560 in words is "two hundred six billion, four hundred twenty-eight million, six hundred forty-two thousand, five hundred sixty".