201564063360 has 1024 divisors, whose sum is σ = 815947776000. Its totient is φ = 46581350400.

The previous prime is 201564063359. The next prime is 201564063403. The reversal of 201564063360 is 63360465102.

201564063360 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 640 + 6 + 3 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 465505704 + ... + 465506136.

It is an arithmetic number, because the mean of its divisors is an integer number (796824000).

Almost surely, 2^201564063360 is an apocalyptic number.

201564063360 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 201564063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407973888000).

201564063360 is an abundant number, since it is smaller than the sum of its proper divisors (614383712640).

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

201564063360 is a wasteful number, since it uses less digits than its factorization.

201564063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 201564063360 in words is "two hundred one billion, five hundred sixty-four million, sixty-three thousand, three hundred sixty".