87630605568 has 792 divisors, whose sum is σ = 312842670336. Its totient is φ = 24186470400.

The previous prime is 87630605561. The next prime is 87630605591. The reversal of 87630605568 is 86550603678.

87630605568 is a `hidden beast` number, since 8 + 76 + 3 + 0 + 6 + 0 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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 (87630605561) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 2826793713 + ... + 2826793743.

Almost surely, 2^87630605568 is an apocalyptic number.

87630605568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87630605568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156421335168).

87630605568 is an abundant number, since it is smaller than the sum of its proper divisors (225212064768).

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

87630605568 is an equidigital number, since it uses as much as digits as its factorization.

87630605568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 87630605568 in words is "eighty-seven billion, six hundred thirty million, six hundred five thousand, five hundred sixty-eight".