734406880896 has 640 divisors, whose sum is σ = 2468739651840. Its totient is φ = 215030661120.

The previous prime is 734406880891. The next prime is 734406880897. The reversal of 734406880896 is 698088604437.

734406880896 is a `hidden beast` number, since 73 + 4 + 406 + 8 + 80 + 89 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (734406880891) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 747107221 + ... + 747108203.

It is an arithmetic number, because the mean of its divisors is an integer number (3857405706).

Almost surely, 2^734406880896 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 734406880896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234369825920).

734406880896 is an abundant number, since it is smaller than the sum of its proper divisors (1734332770944).

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

734406880896 is a wasteful number, since it uses less digits than its factorization.

734406880896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 734406880896 in words is "seven hundred thirty-four billion, four hundred six million, eight hundred eighty thousand, eight hundred ninety-six".