8587410480 has 320 divisors, whose sum is σ = 32716477440. Its totient is φ = 2052864000.

The previous prime is 8587410473. The next prime is 8587410499. The reversal of 8587410480 is 840147858.

8587410480 is a `hidden beast` number, since 85 + 87 + 4 + 10 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1732005 + ... + 1736955.

It is an arithmetic number, because the mean of its divisors is an integer number (102238992).

Almost surely, 2^8587410480 is an apocalyptic number.

8587410480 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 8587410480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16358238720).

8587410480 is an abundant number, since it is smaller than the sum of its proper divisors (24129066960).

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

8587410480 is a wasteful number, since it uses less digits than its factorization.

8587410480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 8587410480 is about 92668.2819523487. The cubic root of 8587410480 is about 2047.7993819496.

The spelling of 8587410480 in words is "eight billion, five hundred eighty-seven million, four hundred ten thousand, four hundred eighty".