32167616004 has 18 divisors (see below), whose sum is σ = 81312584990. Its totient is φ = 10722538656.

The previous prime is 32167615993. The next prime is 32167616011. The reversal of 32167616004 is 40061676123.

It is a happy number.

32167616004 is a `hidden beast` number, since 32 + 1 + 6 + 7 + 616 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32167139904 + 476100 = 179352^2 + 690^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 893544889 = 32167616004 / (3 + 2 + 1 + 6 + 7 + 6 + 1 + 6 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 32167616004.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 446772409 + ... + 446772480.

Almost surely, 2^32167616004 is an apocalyptic number.

It is an amenable number.

32167616004 is an abundant number, since it is smaller than the sum of its proper divisors (49144968986).

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

32167616004 is a wasteful number, since it uses less digits than its factorization.

32167616004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893544899 (or 893544894 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 32167616004 in words is "thirty-two billion, one hundred sixty-seven million, six hundred sixteen thousand, four".