20264422464 has 336 divisors, whose sum is σ = 68532085440. Its totient is φ = 5644062720.

The previous prime is 20264422463. The next prime is 20264422499. The reversal of 20264422464 is 46422446202.

20264422464 is a `hidden beast` number, since 2 + 0 + 2 + 644 + 2 + 2 + 4 + 6 + 4 = 666.

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 (20264422463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28581342 + ... + 28582050.

It is an arithmetic number, because the mean of its divisors is an integer number (203964540).

Almost surely, 2^20264422464 is an apocalyptic number.

20264422464 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 20264422464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34266042720).

20264422464 is an abundant number, since it is smaller than the sum of its proper divisors (48267662976).

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

20264422464 is a wasteful number, since it uses less digits than its factorization.

20264422464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 20264422464 its reverse (46422446202), we get a palindrome (66686868666).

The spelling of 20264422464 in words is "twenty billion, two hundred sixty-four million, four hundred twenty-two thousand, four hundred sixty-four".