210233740032 has 216 divisors, whose sum is σ = 637472908800. Its totient is φ = 69089448960.

The previous prime is 210233740009. The next prime is 210233740049. The reversal of 210233740032 is 230047332012.

210233740032 is a `hidden beast` number, since 21 + 0 + 233 + 7 + 400 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×210233740032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 210233739978 and 210233740005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4392969 + ... + 4440567.

Almost surely, 2^210233740032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210233740032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318736454400).

210233740032 is an abundant number, since it is smaller than the sum of its proper divisors (427239168768).

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

210233740032 is an frugal number, since it uses more digits than its factorization.

210233740032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47701 (or 47675 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 210233740032 in words is "two hundred ten billion, two hundred thirty-three million, seven hundred forty thousand, thirty-two".