87646095360 has 672 divisors, whose sum is σ = 322260120000. Its totient is φ = 22860693504.

The previous prime is 87646095349. The next prime is 87646095367. The reversal of 87646095360 is 6359064678.

87646095360 is a `hidden beast` number, since 8 + 76 + 460 + 9 + 53 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 87646095297 and 87646095306.

It is not an unprimeable number, because it can be changed into a prime (87646095367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 440432541 + ... + 440432739.

It is an arithmetic number, because the mean of its divisors is an integer number (479553750).

Almost surely, 2^87646095360 is an apocalyptic number.

87646095360 is a gapful number since it is divisible by the number (80) 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 87646095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161130060000).

87646095360 is an abundant number, since it is smaller than the sum of its proper divisors (234614024640).

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

87646095360 is an equidigital number, since it uses as much as digits as its factorization.

87646095360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 87646095360 in words is "eighty-seven billion, six hundred forty-six million, ninety-five thousand, three hundred sixty".