87724228608 has 384 divisors, whose sum is σ = 274806604800. Its totient is φ = 27911651328.

The previous prime is 87724228573. The next prime is 87724228609. The reversal of 87724228608 is 80682242778.

87724228608 is a `hidden beast` number, since 8 + 7 + 7 + 2 + 4 + 2 + 28 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (87724228609) 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 23 ways as a sum of consecutive naturals, for example, 183140113 + ... + 183140591.

It is an arithmetic number, because the mean of its divisors is an integer number (715642200).

Almost surely, 2^87724228608 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 87724228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137403302400).

87724228608 is an abundant number, since it is smaller than the sum of its proper divisors (187082376192).

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

87724228608 is an frugal number, since it uses more digits than its factorization.

87724228608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 87724228608 in words is "eighty-seven billion, seven hundred twenty-four million, two hundred twenty-eight thousand, six hundred eight".