87740642880 has 1344 divisors, whose sum is σ = 367764364800. Its totient is φ = 19626393600.

The previous prime is 87740642837. The next prime is 87740642897. The reversal of 87740642880 is 8824604778.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 985849876 + ... + 985849964.

It is an arithmetic number, because the mean of its divisors is an integer number (273634200).

Almost surely, 2^87740642880 is an apocalyptic number.

87740642880 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 87740642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183882182400).

87740642880 is an abundant number, since it is smaller than the sum of its proper divisors (280023721920).

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

87740642880 is a wasteful number, since it uses less digits than its factorization.

87740642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

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

The spelling of 87740642880 in words is "eighty-seven billion, seven hundred forty million, six hundred forty-two thousand, eight hundred eighty".