8487801504 has 288 divisors, whose sum is σ = 31001128704. Its totient is φ = 2141061120.

The previous prime is 8487801499. The next prime is 8487801533. The reversal of 8487801504 is 4051087848.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 8487801504.

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 47 ways as a sum of consecutive naturals, for example, 595744 + ... + 609824.

It is an arithmetic number, because the mean of its divisors is an integer number (107642808).

Almost surely, 2^8487801504 is an apocalyptic number.

8487801504 is a gapful number since it is divisible by the number (84) 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 8487801504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15500564352).

8487801504 is an abundant number, since it is smaller than the sum of its proper divisors (22513327200).

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

8487801504 is a wasteful number, since it uses less digits than its factorization.

8487801504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14140 (or 14129 counting only the distinct ones).

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

The square root of 8487801504 is about 92129.2651875613. The cubic root of 8487801504 is about 2039.8508080052.

The spelling of 8487801504 in words is "eight billion, four hundred eighty-seven million, eight hundred one thousand, five hundred four".