536640672 has 48 divisors (see below), whose sum is σ = 1414228032. Its totient is φ = 178176000.

The previous prime is 536640653. The next prime is 536640673. The reversal of 536640672 is 276046635.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×536640672³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 536640672.

It is not an unprimeable number, because it can be changed into a prime (536640673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13797 + ... + 35547.

It is an arithmetic number, because the mean of its divisors is an integer number (29463084).

Almost surely, 2^536640672 is an apocalyptic number.

It is an amenable number.

536640672 is an abundant number, since it is smaller than the sum of its proper divisors (877587360).

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

536640672 is a wasteful number, since it uses less digits than its factorization.

536640672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22021 (or 22013 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 536640672 is about 23165.5060812407. The cubic root of 536640672 is about 812.6331380090.

The spelling of 536640672 in words is "five hundred thirty-six million, six hundred forty thousand, six hundred seventy-two".