734589378432 has 480 divisors, whose sum is σ = 2738688072120. Its totient is φ = 193736116224.

The previous prime is 734589378427. The next prime is 734589378443. The reversal of 734589378432 is 234873985437.

734589378432 is a `hidden beast` number, since 7 + 3 + 4 + 589 + 3 + 7 + 8 + 43 + 2 = 666.

It is a super-2 number, since 2×734589378432² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 734589378432.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 6548803 + ... + 6660029.

Almost surely, 2^734589378432 is an apocalyptic number.

734589378432 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 734589378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369344036060).

734589378432 is an abundant number, since it is smaller than the sum of its proper divisors (2004098693688).

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

734589378432 is a wasteful number, since it uses less digits than its factorization.

734589378432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111280 (or 111252 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 734589378432 in words is "seven hundred thirty-four billion, five hundred eighty-nine million, three hundred seventy-eight thousand, four hundred thirty-two".