20826407664 has 200 divisors, whose sum is σ = 61772488272. Its totient is φ = 6771548160.

The previous prime is 20826407663. The next prime is 20826407677. The reversal of 20826407664 is 46670462802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20826407663) 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 39 ways as a sum of consecutive naturals, for example, 13255999 + ... + 13257569.

Almost surely, 2^20826407664 is an apocalyptic number.

20826407664 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 20826407664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30886244136).

20826407664 is an abundant number, since it is smaller than the sum of its proper divisors (40946080608).

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

20826407664 is a wasteful number, since it uses less digits than its factorization.

20826407664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 20826407664 in words is "twenty billion, eight hundred twenty-six million, four hundred seven thousand, six hundred sixty-four".