20574603264 has 384 divisors, whose sum is σ = 61641216000. Its totient is φ = 6072827904.

The previous prime is 20574603263. The next prime is 20574603289. The reversal of 20574603264 is 46230647502.

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 (20574603263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212109264 + ... + 212109360.

It is an arithmetic number, because the mean of its divisors is an integer number (160524000).

Almost surely, 2^20574603264 is an apocalyptic number.

20574603264 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 20574603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30820608000).

20574603264 is an abundant number, since it is smaller than the sum of its proper divisors (41066612736).

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

20574603264 is a wasteful number, since it uses less digits than its factorization.

20574603264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 20574603264 in words is "twenty billion, five hundred seventy-four million, six hundred three thousand, two hundred sixty-four".