8872467840 has 320 divisors, whose sum is σ = 32713211520. Its totient is φ = 2289254400.

The previous prime is 8872467839. The next prime is 8872467847. The reversal of 8872467840 is 487642788.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8872467847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1604280 + ... + 1609800.

It is an arithmetic number, because the mean of its divisors is an integer number (102228786).

Almost surely, 2^8872467840 is an apocalyptic number.

8872467840 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 8872467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16356605760).

8872467840 is an abundant number, since it is smaller than the sum of its proper divisors (23840743680).

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

8872467840 is a wasteful number, since it uses less digits than its factorization.

8872467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583 (or 5562 counting only the distinct ones).

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

The square root of 8872467840 is about 94193.7781384737. The cubic root of 8872467840 is about 2070.2119505720.

The spelling of 8872467840 in words is "eight billion, eight hundred seventy-two million, four hundred sixty-seven thousand, eight hundred forty".