87305677632 has 672 divisors, whose sum is σ = 290570716800. Its totient is φ = 25862602752.

The previous prime is 87305677631. The next prime is 87305677643. The reversal of 87305677632 is 23677650378.

87305677632 is a `hidden beast` number, since 8 + 7 + 3 + 0 + 567 + 76 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87305677631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452360928 + ... + 452361120.

It is an arithmetic number, because the mean of its divisors is an integer number (432396900).

Almost surely, 2^87305677632 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 87305677632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145285358400).

87305677632 is an abundant number, since it is smaller than the sum of its proper divisors (203265039168).

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

87305677632 is a wasteful number, since it uses less digits than its factorization.

87305677632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 87305677632 in words is "eighty-seven billion, three hundred five million, six hundred seventy-seven thousand, six hundred thirty-two".