8008480804480 has 128 divisors (see below), whose sum is σ = 20619340877520. Its totient is φ = 2956783484928.

The previous prime is 8008480804463. The next prime is 8008480804507. The reversal of 8008480804480 is 844080848008.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2352493358656 + 5655987445824 = 1533784^2 + 2378232^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213580614 + ... + 213618106.

Almost surely, 2^{8008480804480} is an apocalyptic number.

8008480804480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8008480804480 is an abundant number, since it is smaller than the sum of its proper divisors (12610860073040).

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

8008480804480 is a wasteful number, since it uses less digits than its factorization.

8008480804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63198 (or 63186 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 52.

The spelling of 8008480804480 in words is "eight trillion, eight billion, four hundred eighty million, eight hundred four thousand, four hundred eighty".