734854000680 has 512 divisors, whose sum is σ = 2524879526400. Its totient is φ = 190051909632.

The previous prime is 734854000663. The next prime is 734854000681. The reversal of 734854000680 is 86000458437.

734854000680 is a `hidden beast` number, since 7 + 3 + 48 + 540 + 0 + 0 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 734854000680 = 186³ + 9024³ = 2697³ + 8943³.

It is not an unprimeable number, because it can be changed into a prime (734854000681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2347776204 + ... + 2347776516.

It is an arithmetic number, because the mean of its divisors is an integer number (4931405325).

Almost surely, 2^734854000680 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 734854000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262439763200).

734854000680 is an abundant number, since it is smaller than the sum of its proper divisors (1790025525720).

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

734854000680 is a wasteful number, since it uses less digits than its factorization.

734854000680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 734854000680 in words is "seven hundred thirty-four billion, eight hundred fifty-four million, six hundred eighty", and thus it is an aban number.