9963753937536 has 512 divisors, whose sum is σ = 32043340800000. Its totient is φ = 2682988019712.

The previous prime is 9963753937499. The next prime is 9963753937573. The reversal of 9963753937536 is 6357393573699.

It is an interprime number because it is at equal distance from previous prime (9963753937499) and next prime (9963753937573).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 822153685 + ... + 822165803.

It is an arithmetic number, because the mean of its divisors is an integer number (62584650000).

Almost surely, 2^{9963753937536} is an apocalyptic number.

9963753937536 is a gapful number since it is divisible by the number (96) 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 9963753937536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16021670400000).

9963753937536 is an abundant number, since it is smaller than the sum of its proper divisors (22079586862464).

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

9963753937536 is a wasteful number, since it uses less digits than its factorization.

9963753937536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12424 (or 12412 counting only the distinct ones).

The product of its digits is 2604060900, while the sum is 75.

The spelling of 9963753937536 in words is "nine trillion, nine hundred sixty-three billion, seven hundred fifty-three million, nine hundred thirty-seven thousand, five hundred thirty-six".