481788362880 has 768 divisors, whose sum is σ = 1928324361600. Its totient is φ = 113931878400.

The previous prime is 481788362849. The next prime is 481788362917. The reversal of 481788362880 is 88263887184.

481788362880 is a `hidden beast` number, since 481 + 78 + 8 + 3 + 6 + 2 + 8 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70136086 + ... + 70142954.

Almost surely, 2^481788362880 is an apocalyptic number.

481788362880 is a gapful number since it is divisible by the number (40) 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 481788362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964162180800).

481788362880 is an abundant number, since it is smaller than the sum of its proper divisors (1446535998720).

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

481788362880 is a wasteful number, since it uses less digits than its factorization.

481788362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6955 (or 6931 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 481788362880 in words is "four hundred eighty-one billion, seven hundred eighty-eight million, three hundred sixty-two thousand, eight hundred eighty".