209234970720 has 768 divisors, whose sum is σ = 811254528000. Its totient is φ = 50130026496.

The previous prime is 209234970671. The next prime is 209234970731. The reversal of 209234970720 is 27079432902.

209234970720 is a `hidden beast` number, since 2 + 0 + 92 + 3 + 497 + 0 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 258633676 + ... + 258634484.

It is an arithmetic number, because the mean of its divisors is an integer number (1056321000).

Almost surely, 2^209234970720 is an apocalyptic number.

209234970720 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 209234970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405627264000).

209234970720 is an abundant number, since it is smaller than the sum of its proper divisors (602019557280).

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

209234970720 is a wasteful number, since it uses less digits than its factorization.

209234970720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 209234970720 in words is "two hundred nine billion, two hundred thirty-four million, nine hundred seventy thousand, seven hundred twenty".