9653937488640 has 720 divisors, whose sum is σ = 35906429069280. Its totient is φ = 2473668771840.

The previous prime is 9653937488639. The next prime is 9653937488659. The reversal of 9653937488640 is 468847393569.

9653937488640 is a `hidden beast` number, since 9 + 6 + 53 + 9 + 37 + 488 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 79 ways as a sum of consecutive naturals, for example, 634410312 + ... + 634425528.

It is an arithmetic number, because the mean of its divisors is an integer number (49870040374).

Almost surely, 2^{9653937488640} is an apocalyptic number.

9653937488640 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 9653937488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17953214534640).

9653937488640 is an abundant number, since it is smaller than the sum of its proper divisors (26252491580640).

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

9653937488640 is a wasteful number, since it uses less digits than its factorization.

9653937488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15490 (or 15467 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 9653937488640 in words is "nine trillion, six hundred fifty-three billion, nine hundred thirty-seven million, four hundred eighty-eight thousand, six hundred forty".