8460136480 has 72 divisors (see below), whose sum is σ = 20463413292. Its totient is φ = 3305240064.

The previous prime is 8460136453. The next prime is 8460136507. The reversal of 8460136480 is 846310648.

It is an interprime number because it is at equal distance from previous prime (8460136453) and next prime (8460136507).

It can be written as a sum of positive squares in 2 ways, for example, as 7785591696 + 674544784 = 88236^2 + 25972^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 281542 + ... + 310138.

Almost surely, 2^8460136480 is an apocalyptic number.

8460136480 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 8460136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10231706646).

8460136480 is an abundant number, since it is smaller than the sum of its proper divisors (12003276812).

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

8460136480 is a wasteful number, since it uses less digits than its factorization.

8460136480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28698 (or 28647 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 8460136480 is about 91979.0002120049. Note that the first 3 decimals coincide. The cubic root of 8460136480 is about 2037.6321751985.

The spelling of 8460136480 in words is "eight billion, four hundred sixty million, one hundred thirty-six thousand, four hundred eighty".