8480356800 has 336 divisors, whose sum is σ = 28753076352. Its totient is φ = 2186956800.

The previous prime is 8480356777. The next prime is 8480356853. The reversal of 8480356800 is 86530848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37358287 + ... + 37358513.

It is an arithmetic number, because the mean of its divisors is an integer number (85574632).

Almost surely, 2^8480356800 is an apocalyptic number.

8480356800 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 8480356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14376538176).

8480356800 is an abundant number, since it is smaller than the sum of its proper divisors (20272719552).

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

8480356800 is a wasteful number, since it uses less digits than its factorization.

8480356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 8480356800 is about 92088.8527455957. The cubic root of 8480356800 is about 2039.2542449036.

The spelling of 8480356800 in words is "eight billion, four hundred eighty million, three hundred fifty-six thousand, eight hundred".