201932774064 has 160 divisors (see below), whose sum is σ = 662590448640. Its totient is φ = 57680667648.

The previous prime is 201932774039. The next prime is 201932774107. The reversal of 201932774064 is 460477239102.

201932774064 is a `hidden beast` number, since 201 + 9 + 32 + 7 + 7 + 406 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20174149 + ... + 20184155.

It is an arithmetic number, because the mean of its divisors is an integer number (4141190304).

Almost surely, 2^201932774064 is an apocalyptic number.

201932774064 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 201932774064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331295224320).

201932774064 is an abundant number, since it is smaller than the sum of its proper divisors (460657674576).

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

201932774064 is a wasteful number, since it uses less digits than its factorization.

201932774064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16704 (or 16692 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 201932774064 in words is "two hundred one billion, nine hundred thirty-two million, seven hundred seventy-four thousand, sixty-four".