534835448640 has 896 divisors, whose sum is σ = 2005836618240. Its totient is φ = 133993267200.

The previous prime is 534835448639. The next prime is 534835448647. The reversal of 534835448640 is 46844538435.

534835448640 is a `hidden beast` number, since 5 + 3 + 483 + 5 + 44 + 86 + 40 = 666.

It is a super-3 number, since 3×534835448640³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534835448647) 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, 1145257687 + ... + 1145258153.

It is an arithmetic number, because the mean of its divisors is an integer number (2238656940).

Almost surely, 2^534835448640 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 534835448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002918309120).

534835448640 is an abundant number, since it is smaller than the sum of its proper divisors (1471001169600).

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

534835448640 is a wasteful number, since it uses less digits than its factorization.

534835448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 534835448640 in words is "five hundred thirty-four billion, eight hundred thirty-five million, four hundred forty-eight thousand, six hundred forty".