206979373560960 has 2560 divisors, whose sum is σ = 993491300229120. Its totient is φ = 39658286776320.

The previous prime is 206979373560929. The next prime is 206979373560961. The reversal of 206979373560960 is 69065373979602.

It is a happy number.

206979373560960 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 7 + 9 + 3 + 7 + 3 + 5 + 609 + 6 + 0 = 666.

It is a super-2 number, since 2×206979373560960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (206979373560961) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 73842086919 + ... + 73842089721.

It is an arithmetic number, because the mean of its divisors is an integer number (388082539152).

Almost surely, 2^{206979373560960} is an apocalyptic number.

206979373560960 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 206979373560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496745650114560).

206979373560960 is an abundant number, since it is smaller than the sum of its proper divisors (786511926668160).

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

206979373560960 is a wasteful number, since it uses less digits than its factorization.

206979373560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 694416240, while the sum is 72.

The spelling of 206979373560960 in words is "two hundred six trillion, nine hundred seventy-nine billion, three hundred seventy-three million, five hundred sixty thousand, nine hundred sixty".