8503367040 has 768 divisors, whose sum is σ = 35607237120. Its totient is φ = 1899085824.

The previous prime is 8503367021. The next prime is 8503367057. The reversal of 8503367040 is 407633058.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8503366986 and 8503367004.

It is a congruent number.

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, 79470667 + ... + 79470773.

It is an arithmetic number, because the mean of its divisors is an integer number (46363590).

Almost surely, 2^8503367040 is an apocalyptic number.

8503367040 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 8503367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17803618560).

8503367040 is an abundant number, since it is smaller than the sum of its proper divisors (27103870080).

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

8503367040 is a wasteful number, since it uses less digits than its factorization.

8503367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 8503367040 is about 92213.7031031723. The cubic root of 8503367040 is about 2041.0969878556.

The spelling of 8503367040 in words is "eight billion, five hundred three million, three hundred sixty-seven thousand, forty".