20034902384640 has 2688 divisors, whose sum is σ = 87281452177920. Its totient is φ = 4178785075200.

The previous prime is 20034902384597. The next prime is 20034902384657. The reversal of 20034902384640 is 4648320943002.

20034902384640 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 490 + 23 + 84 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83132374920 + ... + 83132375160.

It is an arithmetic number, because the mean of its divisors is an integer number (32470778340).

Almost surely, 2^{20034902384640} is an apocalyptic number.

20034902384640 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 20034902384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43640726088960).

20034902384640 is an abundant number, since it is smaller than the sum of its proper divisors (67246549793280).

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

20034902384640 is a wasteful number, since it uses less digits than its factorization.

20034902384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 20034902384640 in words is "twenty trillion, thirty-four billion, nine hundred two million, three hundred eighty-four thousand, six hundred forty".