536646672 has 120 divisors (see below), whose sum is σ = 1575220608. Its totient is φ = 170227200.

The previous prime is 536646647. The next prime is 536646679. The reversal of 536646672 is 276646635.

536646672 is a `hidden beast` number, since 536 + 6 + 46 + 6 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (536646679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029772 + ... + 1030292.

Almost surely, 2^536646672 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 536646672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787610304).

536646672 is an abundant number, since it is smaller than the sum of its proper divisors (1038573936).

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

536646672 is a wasteful number, since it uses less digits than its factorization.

536646672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 860 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 536646672 is about 23165.6355837693. The cubic root of 536646672 is about 812.6361665908.

The spelling of 536646672 in words is "five hundred thirty-six million, six hundred forty-six thousand, six hundred seventy-two".