87479844480 has 768 divisors, whose sum is σ = 361846517760. Its totient is φ = 19782144000.

The previous prime is 87479844467. The next prime is 87479844497. The reversal of 87479844480 is 8444897478.

87479844480 is a `hidden beast` number, since 8 + 7 + 4 + 79 + 84 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116484105 + ... + 116484855.

It is an arithmetic number, because the mean of its divisors is an integer number (471154320).

Almost surely, 2^87479844480 is an apocalyptic number.

87479844480 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 87479844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180923258880).

87479844480 is an abundant number, since it is smaller than the sum of its proper divisors (274366673280).

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

87479844480 is a wasteful number, since it uses less digits than its factorization.

87479844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 87479844480 in words is "eighty-seven billion, four hundred seventy-nine million, eight hundred forty-four thousand, four hundred eighty".