734128627080 has 256 divisors, whose sum is σ = 2309509324800. Its totient is φ = 186332636160.

The previous prime is 734128627073. The next prime is 734128627087. The reversal of 734128627080 is 80726821437.

It is an interprime number because it is at equal distance from previous prime (734128627073) and next prime (734128627087).

It is not an unprimeable number, because it can be changed into a prime (734128627087) 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 63 ways as a sum of consecutive naturals, for example, 736337142 + ... + 736338138.

It is an arithmetic number, because the mean of its divisors is an integer number (9021520800).

Almost surely, 2^734128627080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 734128627080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154754662400).

734128627080 is an abundant number, since it is smaller than the sum of its proper divisors (1575380697720).

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

734128627080 is a wasteful number, since it uses less digits than its factorization.

734128627080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 734128627080 in words is "seven hundred thirty-four billion, one hundred twenty-eight million, six hundred twenty-seven thousand, eighty".