213673205760 has 896 divisors, whose sum is σ = 822117288960. Its totient is φ = 46374322176.

The previous prime is 213673205701. The next prime is 213673205771. The reversal of 213673205760 is 67502376312.

It is a tau number, because it is divible by the number of its divisors (896).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1960304586 + ... + 1960304694.

Almost surely, 2^213673205760 is an apocalyptic number.

213673205760 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 213673205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411058644480).

213673205760 is an abundant number, since it is smaller than the sum of its proper divisors (608444083200).

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

213673205760 is a wasteful number, since it uses less digits than its factorization.

213673205760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 213673205760 in words is "two hundred thirteen billion, six hundred seventy-three million, two hundred five thousand, seven hundred sixty".