20693024640 has 768 divisors, whose sum is σ = 80196480000. Its totient is φ = 5082144768.

The previous prime is 20693024591. The next prime is 20693024657. The reversal of 20693024640 is 4642039602.

20693024640 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 3 + 0 + 2 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20693024595 and 20693024604.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 138879286 + ... + 138879434.

It is an arithmetic number, because the mean of its divisors is an integer number (104422500).

Almost surely, 2^20693024640 is an apocalyptic number.

20693024640 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 20693024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40098240000).

20693024640 is an abundant number, since it is smaller than the sum of its proper divisors (59503455360).

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

20693024640 is a wasteful number, since it uses less digits than its factorization.

20693024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 20693024640 in words is "twenty billion, six hundred ninety-three million, twenty-four thousand, six hundred forty".