260015641632 has 72 divisors (see below), whose sum is σ = 764916728940. Its totient is φ = 83683192320.

The previous prime is 260015641583. The next prime is 260015641637. The reversal of 260015641632 is 236146510062.

260015641632 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 1 + 5 + 641 + 6 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 229559807376 + 30455834256 = 479124^2 + 174516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (260015641637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15557719 + ... + 15574422.

Almost surely, 2^260015641632 is an apocalyptic number.

It is an amenable number.

260015641632 is an abundant number, since it is smaller than the sum of its proper divisors (504901087308).

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

260015641632 is a wasteful number, since it uses less digits than its factorization.

260015641632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31132186 (or 31132175 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 260015641632 in words is "two hundred sixty billion, fifteen million, six hundred forty-one thousand, six hundred thirty-two".