20836289664 has 224 divisors, whose sum is σ = 63573776640. Its totient is φ = 6796224000.

The previous prime is 20836289633. The next prime is 20836289681. The reversal of 20836289664 is 46698263802.

20836289664 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 628 + 9 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×20836289664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20836289664.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4383289 + ... + 4388039.

Almost surely, 2^20836289664 is an apocalyptic number.

20836289664 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 20836289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31786888320).

20836289664 is an abundant number, since it is smaller than the sum of its proper divisors (42737486976).

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

20836289664 is an frugal number, since it uses more digits than its factorization.

20836289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 20836289664 in words is "twenty billion, eight hundred thirty-six million, two hundred eighty-nine thousand, six hundred sixty-four".