734330634240 has 960 divisors, whose sum is σ = 2854321311744. Its totient is φ = 157582098432.

The previous prime is 734330634223. The next prime is 734330634241. The reversal of 734330634240 is 42436033437.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (734330634241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2651012982 + ... + 2651013258.

Almost surely, 2^734330634240 is an apocalyptic number.

734330634240 is a gapful number since it is divisible by the number (70) 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 734330634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427160655872).

734330634240 is an abundant number, since it is smaller than the sum of its proper divisors (2119990677504).

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

734330634240 is a wasteful number, since it uses less digits than its factorization.

734330634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 39.

Adding to 734330634240 its reverse (42436033437), we get a palindrome (776766667677).

The spelling of 734330634240 in words is "seven hundred thirty-four billion, three hundred thirty million, six hundred thirty-four thousand, two hundred forty".