9433734416640 has 864 divisors, whose sum is σ = 36505203710976. Its totient is φ = 2237957406720.

The previous prime is 9433734416633. The next prime is 9433734416641. The reversal of 9433734416640 is 466144373349.

9433734416640 is a `hidden beast` number, since 9 + 4 + 33 + 73 + 441 + 66 + 40 = 666.

It is a super-2 number, since 2×9433734416640² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9433734416641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261036652 + ... + 261072788.

It is an arithmetic number, because the mean of its divisors is an integer number (42251393184).

Almost surely, 2^{9433734416640} is an apocalyptic number.

9433734416640 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 9433734416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18252601855488).

9433734416640 is an abundant number, since it is smaller than the sum of its proper divisors (27071469294336).

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

9433734416640 is a wasteful number, since it uses less digits than its factorization.

9433734416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36255 (or 36238 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

Adding to 9433734416640 its reverse (466144373349), we get a palindrome (9899878789989).

The spelling of 9433734416640 in words is "nine trillion, four hundred thirty-three billion, seven hundred thirty-four million, four hundred sixteen thousand, six hundred forty".