20275481664 has 189 divisors, whose sum is σ = 61913089407. Its totient is φ = 6342709248.

The previous prime is 20275481651. The next prime is 20275481713. The reversal of 20275481664 is 46618457202.

The square root of 20275481664 is 142392.

It is a perfect power (a square), and thus also a powerful number.

20275481664 is a `hidden beast` number, since 20 + 27 + 548 + 1 + 6 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5340686400 + 14934795264 = 73080^2 + 122208^2 .

It is a super-3 number, since 3×20275481664³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58095762 + ... + 58096110.

Almost surely, 2^20275481664 is an apocalyptic number.

20275481664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20275481664 is the 142392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20275481664

20275481664 is an abundant number, since it is smaller than the sum of its proper divisors (41637607743).

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

20275481664 is an equidigital number, since it uses as much as digits as its factorization.

20275481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20275481664 in words is "twenty billion, two hundred seventy-five million, four hundred eighty-one thousand, six hundred sixty-four".