9959723504640 has 3696 divisors, whose sum is σ = 46278139743360. Its totient is φ = 2036679966720.

The previous prime is 9959723504609. The next prime is 9959723504641. The reversal of 9959723504640 is 464053279599.

9959723504640 is a `hidden beast` number, since 9 + 9 + 59 + 72 + 3 + 50 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9959723504641) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 140277795805 + ... + 140277795875.

Almost surely, 2^{9959723504640} is an apocalyptic number.

9959723504640 is a gapful number since it is divisible by the number (90) 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 9959723504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23139069871680).

9959723504640 is an abundant number, since it is smaller than the sum of its proper divisors (36318416238720).

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

9959723504640 is a wasteful number, since it uses less digits than its factorization.

9959723504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 9959723504640 in words is "nine trillion, nine hundred fifty-nine billion, seven hundred twenty-three million, five hundred four thousand, six hundred forty".