87663435761736 has 48 divisors (see below), whose sum is σ = 237453560264700. Its totient is φ = 29217236936832.

The previous prime is 87663435761731. The next prime is 87663435761747. The reversal of 87663435761736 is 63716753436678.

87663435761736 is a `hidden beast` number, since 8 + 7 + 6 + 6 + 3 + 4 + 3 + 576 + 17 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77432432184900 + 10231003576836 = 8799570^2 + 3198594^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (87663435761731) 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, 80881191 + ... + 81957878.

Almost surely, 2^{87663435761736} is an apocalyptic number.

It is an amenable number.

87663435761736 is an abundant number, since it is smaller than the sum of its proper divisors (149790124502964).

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

87663435761736 is a wasteful number, since it uses less digits than its factorization.

87663435761736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162846558 (or 162846551 counting only the distinct ones).

The product of its digits is 1920360960, while the sum is 72.

The spelling of 87663435761736 in words is "eighty-seven trillion, six hundred sixty-three billion, four hundred thirty-five million, seven hundred sixty-one thousand, seven hundred thirty-six".