20218371264 has 672 divisors, whose sum is σ = 75621611520. Its totient is φ = 5021097984.

The previous prime is 20218371263. The next prime is 20218371289. The reversal of 20218371264 is 46217381202.

It is a happy number.

20218371264 is a `hidden beast` number, since 2 + 0 + 21 + 8 + 371 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (20218371263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71442867 + ... + 71443149.

It is an arithmetic number, because the mean of its divisors is an integer number (112532160).

Almost surely, 2^20218371264 is an apocalyptic number.

20218371264 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 20218371264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37810805760).

20218371264 is an abundant number, since it is smaller than the sum of its proper divisors (55403240256).

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

20218371264 is a wasteful number, since it uses less digits than its factorization.

20218371264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20218371264 in words is "twenty billion, two hundred eighteen million, three hundred seventy-one thousand, two hundred sixty-four".