87429834648 has 256 divisors, whose sum is σ = 270273024000. Its totient is φ = 26012524032.

The previous prime is 87429834641. The next prime is 87429834649. The reversal of 87429834648 is 84643892478.

87429834648 is a `hidden beast` number, since 8 + 74 + 29 + 83 + 464 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87429834641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17348113 + ... + 17353151.

It is an arithmetic number, because the mean of its divisors is an integer number (1055754000).

Almost surely, 2^87429834648 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 87429834648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135136512000).

87429834648 is an abundant number, since it is smaller than the sum of its proper divisors (182843189352).

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

87429834648 is a wasteful number, since it uses less digits than its factorization.

87429834648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5261 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 87429834648 in words is "eighty-seven billion, four hundred twenty-nine million, eight hundred thirty-four thousand, six hundred forty-eight".