9736351786728 has 576 divisors, whose sum is σ = 32261735301120. Its totient is φ = 2641574073600.

The previous prime is 9736351786727. The next prime is 9736351786789. The reversal of 9736351786728 is 8276871536379.

9736351786728 is a `hidden beast` number, since 9 + 7 + 3 + 6 + 3 + 517 + 86 + 7 + 28 = 666.

It is a super-2 number, since 2×9736351786728² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9736351786727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1985792325 + ... + 1985797227.

It is an arithmetic number, because the mean of its divisors is an integer number (56009957120).

Almost surely, 2^{9736351786728} is an apocalyptic number.

9736351786728 is a gapful number since it is divisible by the number (98) 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 9736351786728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130867650560).

9736351786728 is an abundant number, since it is smaller than the sum of its proper divisors (22525383514392).

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

9736351786728 is a wasteful number, since it uses less digits than its factorization.

9736351786728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298 (or 5284 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 72.

The spelling of 9736351786728 in words is "nine trillion, seven hundred thirty-six billion, three hundred fifty-one million, seven hundred eighty-six thousand, seven hundred twenty-eight".