534608363520 has 1920 divisors, whose sum is σ = 2458122670080. Its totient is φ = 107017666560.

The previous prime is 534608363519. The next prime is 534608363537. The reversal of 534608363520 is 25363806435.

534608363520 is a `hidden beast` number, since 5 + 3 + 4 + 6 + 0 + 8 + 3 + 635 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×534608363520² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7323402204 + ... + 7323402276.

It is an arithmetic number, because the mean of its divisors is an integer number (1280272224).

Almost surely, 2^534608363520 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 534608363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229061335040).

534608363520 is an abundant number, since it is smaller than the sum of its proper divisors (1923514306560).

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

534608363520 is a wasteful number, since it uses less digits than its factorization.

534608363520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 534608363520 in words is "five hundred thirty-four billion, six hundred eight million, three hundred sixty-three thousand, five hundred twenty".