734265891072 has 432 divisors, whose sum is σ = 2461056124800. Its totient is φ = 206208073728.

The previous prime is 734265891061. The next prime is 734265891091. The reversal of 734265891072 is 270198562437.

It is a happy number.

734265891072 is a `hidden beast` number, since 7 + 3 + 42 + 6 + 589 + 10 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410892163 + ... + 410893949.

It is a 1-persistent number, because it is pandigital, but 2⋅734265891072 = 1468531782144 is not.

Almost surely, 2^734265891072 is an apocalyptic number.

734265891072 is a gapful number since it is divisible by the number (72) 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 734265891072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230528062400).

734265891072 is an abundant number, since it is smaller than the sum of its proper divisors (1726790233728).

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

734265891072 is a wasteful number, since it uses less digits than its factorization.

734265891072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 734265891072 in words is "seven hundred thirty-four billion, two hundred sixty-five million, eight hundred ninety-one thousand, seventy-two".