201030576768 has 384 divisors, whose sum is σ = 710152560000. Its totient is φ = 54412259328.

The previous prime is 201030576763. The next prime is 201030576779. The reversal of 201030576768 is 867675030102.

201030576768 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 3 + 0 + 576 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (201030576763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7494196 + ... + 7520972.

It is an arithmetic number, because the mean of its divisors is an integer number (1849355625).

Almost surely, 2^201030576768 is an apocalyptic number.

201030576768 is a gapful number since it is divisible by the number (28) 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 201030576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355076280000).

201030576768 is an abundant number, since it is smaller than the sum of its proper divisors (509121983232).

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

201030576768 is a wasteful number, since it uses less digits than its factorization.

201030576768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26837 (or 26808 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 201030576768 in words is "two hundred one billion, thirty million, five hundred seventy-six thousand, seven hundred sixty-eight".