201688704000 has 1320 divisors, whose sum is σ = 876568255992. Its totient is φ = 45984153600.

The previous prime is 201688703969. The next prime is 201688704023. The reversal of 201688704000 is 407886102.

201688704000 is a `hidden beast` number, since 20 + 168 + 8 + 70 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3186376704 + 198502327296 = 56448^2 + 445536^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

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 119 ways as a sum of consecutive naturals, for example, 508031802 + ... + 508032198.

Almost surely, 2^201688704000 is an apocalyptic number.

201688704000 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 201688704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438284127996).

201688704000 is an abundant number, since it is smaller than the sum of its proper divisors (674879551992).

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

201688704000 is an equidigital number, since it uses as much as digits as its factorization.

201688704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 201688704000 in words is "two hundred one billion, six hundred eighty-eight million, seven hundred four thousand".