8746404480 has 768 divisors, whose sum is σ = 35042042880. Its totient is φ = 1990656000.

The previous prime is 8746404479. The next prime is 8746404481. The reversal of 8746404480 is 844046478.

It is an interprime number because it is at equal distance from previous prime (8746404479) and next prime (8746404481).

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

It is not an unprimeable number, because it can be changed into a prime (8746404481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119813724 + ... + 119813796.

It is an arithmetic number, because the mean of its divisors is an integer number (45627660).

Almost surely, 2^8746404480 is an apocalyptic number.

8746404480 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 8746404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17521021440).

8746404480 is an abundant number, since it is smaller than the sum of its proper divisors (26295638400).

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

8746404480 is a wasteful number, since it uses less digits than its factorization.

8746404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 8746404480 is about 93522.2138317951. The cubic root of 8746404480 is about 2060.3603604974.

The spelling of 8746404480 in words is "eight billion, seven hundred forty-six million, four hundred four thousand, four hundred eighty".