201820667904 has 816 divisors, whose sum is σ = 687021753600. Its totient is φ = 58859716608.

The previous prime is 201820667891. The next prime is 201820667957. The reversal of 201820667904 is 409766028102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 201820667904.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6959333362 + ... + 6959333390.

Almost surely, 2^201820667904 is an apocalyptic number.

201820667904 is a gapful number since it is divisible by the number (24) 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 201820667904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343510876800).

201820667904 is an abundant number, since it is smaller than the sum of its proper divisors (485201085696).

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

201820667904 is an frugal number, since it uses more digits than its factorization.

201820667904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 201820667904 in words is "two hundred one billion, eight hundred twenty million, six hundred sixty-seven thousand, nine hundred four".