206872371044640 has 1440 divisors, whose sum is σ = 867948584025600. Its totient is φ = 46257027747840.

The previous prime is 206872371044587. The next prime is 206872371044657. The reversal of 206872371044640 is 46440173278602.

206872371044640 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 72 + 3 + 7 + 104 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5468310525 + ... + 5468348355.

It is an arithmetic number, because the mean of its divisors is an integer number (602742072240).

Almost surely, 2^{206872371044640} is an apocalyptic number.

206872371044640 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 206872371044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433974292012800).

206872371044640 is an abundant number, since it is smaller than the sum of its proper divisors (661076212980960).

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

206872371044640 is a wasteful number, since it uses less digits than its factorization.

206872371044640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38060 (or 38036 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 206872371044640 in words is "two hundred six trillion, eight hundred seventy-two billion, three hundred seventy-one million, forty-four thousand, six hundred forty".