9749628659520 has 336 divisors, whose sum is σ = 36288721123200. Its totient is φ = 2486861346816.

The previous prime is 9749628659501. The next prime is 9749628659521. The reversal of 9749628659520 is 259568269479.

9749628659520 is a `hidden beast` number, since 9 + 7 + 4 + 9 + 6 + 2 + 8 + 6 + 595 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9749628659521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 937195 + ... + 4514154.

It is an arithmetic number, because the mean of its divisors is an integer number (108002146200).

Almost surely, 2^{9749628659520} is an apocalyptic number.

9749628659520 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 9749628659520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144360561600).

9749628659520 is an abundant number, since it is smaller than the sum of its proper divisors (26539092463680).

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

9749628659520 is a wasteful number, since it uses less digits than its factorization.

9749628659520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451404 (or 5451382 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 9749628659520 in words is "nine trillion, seven hundred forty-nine billion, six hundred twenty-eight million, six hundred fifty-nine thousand, five hundred twenty".