20403792864 has 576 divisors, whose sum is σ = 75386868480. Its totient is φ = 5321272320.

The previous prime is 20403792847. The next prime is 20403792869. The reversal of 20403792864 is 46829730402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20403792869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72098067 + ... + 72098349.

It is an arithmetic number, because the mean of its divisors is an integer number (130879980).

Almost surely, 2^20403792864 is an apocalyptic number.

20403792864 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 20403792864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37693434240).

20403792864 is an abundant number, since it is smaller than the sum of its proper divisors (54983075616).

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

20403792864 is a wasteful number, since it uses less digits than its factorization.

20403792864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 20403792864 in words is "twenty billion, four hundred three million, seven hundred ninety-two thousand, eight hundred sixty-four".