206364644640 has 864 divisors, whose sum is σ = 912841622784. Its totient is φ = 41961185280.

The previous prime is 206364644639. The next prime is 206364644683. The reversal of 206364644640 is 46446463602.

206364644640 is a `hidden beast` number, since 2 + 0 + 636 + 4 + 6 + 4 + 4 + 6 + 4 + 0 = 666.

206364644640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36476692 + ... + 36482348.

It is an arithmetic number, because the mean of its divisors is an integer number (1056529656).

Almost surely, 2^206364644640 is an apocalyptic number.

206364644640 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 206364644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456420811392).

206364644640 is an abundant number, since it is smaller than the sum of its proper divisors (706476978144).

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

206364644640 is a wasteful number, since it uses less digits than its factorization.

206364644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5750 (or 5732 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 206364644640 in words is "two hundred six billion, three hundred sixty-four million, six hundred forty-four thousand, six hundred forty".