534685240320 has 2112 divisors, whose sum is σ = 2395261186560. Its totient is φ = 100191436800.

The previous prime is 534685240289. The next prime is 534685240351. The reversal of 534685240320 is 23042586435.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (534685240289) and next prime (534685240351).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4081566655 + ... + 4081566785.

It is an arithmetic number, because the mean of its divisors is an integer number (1134119880).

Almost surely, 2^534685240320 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 534685240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197630593280).

534685240320 is an abundant number, since it is smaller than the sum of its proper divisors (1860575946240).

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

534685240320 is a wasteful number, since it uses less digits than its factorization.

534685240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 534685240320 in words is "five hundred thirty-four billion, six hundred eighty-five million, two hundred forty thousand, three hundred twenty".