20003303743632 has 480 divisors, whose sum is σ = 68832395337600. Its totient is φ = 5508305510400.

The previous prime is 20003303743597. The next prime is 20003303743681. The reversal of 20003303743632 is 23634730330002.

It is a super-3 number, since 3×20003303743632³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39575382 + ... + 40077642.

It is an arithmetic number, because the mean of its divisors is an integer number (143400823620).

Almost surely, 2^{20003303743632} is an apocalyptic number.

20003303743632 is a gapful number since it is divisible by the number (22) 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 20003303743632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34416197668800).

20003303743632 is an abundant number, since it is smaller than the sum of its proper divisors (48829091593968).

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

20003303743632 is a wasteful number, since it uses less digits than its factorization.

20003303743632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502352 (or 502323 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 36.

The spelling of 20003303743632 in words is "twenty trillion, three billion, three hundred three million, seven hundred forty-three thousand, six hundred thirty-two".