213620779008 has 1152 divisors, whose sum is σ = 811352505600. Its totient is φ = 54655451136.

The previous prime is 213620779003. The next prime is 213620779013. The reversal of 213620779008 is 800977026312.

213620779008 is a `hidden beast` number, since 2 + 13 + 620 + 7 + 7 + 9 + 0 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (213620779003) and next prime (213620779013).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213620779003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2400233428 + ... + 2400233516.

It is an arithmetic number, because the mean of its divisors is an integer number (704299050).

Almost surely, 2^213620779008 is an apocalyptic number.

213620779008 is a gapful number since it is divisible by the number (28) 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 213620779008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405676252800).

213620779008 is an abundant number, since it is smaller than the sum of its proper divisors (597731726592).

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

213620779008 is an equidigital number, since it uses as much as digits as its factorization.

213620779008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 213620779008 in words is "two hundred thirteen billion, six hundred twenty million, seven hundred seventy-nine thousand, eight".