20340260640 has 864 divisors, whose sum is σ = 88412373504. Its totient is φ = 4226826240.

The previous prime is 20340260621. The next prime is 20340260669. The reversal of 20340260640 is 4606204302.

20340260640 is a `hidden beast` number, since 2 + 0 + 340 + 260 + 64 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37184847 + ... + 37185393.

It is an arithmetic number, because the mean of its divisors is an integer number (102329136).

Almost surely, 2^20340260640 is an apocalyptic number.

20340260640 is a gapful number since it is divisible by the number (20) 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 20340260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44206186752).

20340260640 is an abundant number, since it is smaller than the sum of its proper divisors (68072112864).

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

20340260640 is a wasteful number, since it uses less digits than its factorization.

20340260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20340260640 its reverse (4606204302), we get a palindrome (24946464942).

The spelling of 20340260640 in words is "twenty billion, three hundred forty million, two hundred sixty thousand, six hundred forty".