536064480 has 480 divisors, whose sum is σ = 2283240960. Its totient is φ = 115706880.

The previous prime is 536064479. The next prime is 536064491. The reversal of 536064480 is 84460635.

536064480 is a `hidden beast` number, since 5 + 3 + 6 + 0 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723525 + ... + 1723835.

It is an arithmetic number, because the mean of its divisors is an integer number (4756752).

Almost surely, 2^536064480 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 536064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141620480).

536064480 is an abundant number, since it is smaller than the sum of its proper divisors (1747176480).

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

536064480 is a wasteful number, since it uses less digits than its factorization.

536064480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 536064480 is about 23153.0663196044. The cubic root of 536064480 is about 812.3421919947.

The spelling of 536064480 in words is "five hundred thirty-six million, sixty-four thousand, four hundred eighty".